Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

barboat

Write the following series by using the sigma notation. 1+8+27+64+...+1000

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    \[1^3 + 2^3 + 3^3 +.....+ 10^3 = \sum_{1}^{10}N^3\]

    • 2 years ago
  2. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    $$ \sum \limits_{i=1}^{10} i^3 $$

    • 2 years ago
  3. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    I never Understood sigma notation Someone please Explain Me =)

    • 2 years ago
  4. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    sigma means summation

    • 2 years ago
  5. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    see what i have written above i.e., answer

    • 2 years ago
  6. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    $$ \sum $$ This is a capital sigma. It's use is best illustrated by an example: $$ \sum_{i = 1}^4 \frac{1}{i} = \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4}. $$ You begin by replacing the index (in this case, $i$) with the first value it takes on (iit's lower bound in this case, 1). You then proceed to the next number and keep doing this replacement until you are at the upper limit (in this case, 4). Finally, you add all these terms up.

    • 2 years ago
  7. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    in above expression it is sum of cubes of first 10 natural numbers

    • 2 years ago
  8. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    fool is right ^^^^^^

    • 2 years ago
  9. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    What is there on top ,bottom and left ?

    • 2 years ago
  10. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    Fool is always right :P :D btw I have to attribute the answer to Austin Mohr read here http://math.stackexchange.com/questions/81921/weird-e-letter-sigma I was too tired to type when there is already a very good explanation ;)

    • 2 years ago
  11. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    bottom it is the range where bottom is the lowest value that N can have and at top u having the highest value that N can have

    • 2 years ago
  12. barboat
    Best Response
    You've already chosen the best response.
    Medals 0

    Could you explain why you write 10 up there ?

    • 2 years ago
  13. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    10 is the number of terms or number of iterations

    • 2 years ago
  14. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\sum_{N=1}^{10}N^3 = 1^3 +2^3 + 3^3 + 4^3 +5^3 + 6^3 + 7^3 + 8^3 +9^3 + 10^3\]

    • 2 years ago
  15. barboat
    Best Response
    You've already chosen the best response.
    Medals 0

    for this series, 1+3+5+7+..+99 it would be sigma (2n-1). and at the bottom it is r=1, right ? how do i get the top number ?

    • 2 years ago
  16. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\sum_{n= 1}^{50}(2n-1) = 1+3+5+7+....+99\]

    • 2 years ago
  17. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    this is arithmetic progression, how you find the number of terms in an A.P ? ;)

    • 2 years ago
  18. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    Understood =)

    • 2 years ago
  19. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    is that ok fool bro

    • 2 years ago
  20. barboat
    Best Response
    You've already chosen the best response.
    Medals 0

    using the formula Sn = n/2(a+l), right ?

    • 2 years ago
  21. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    I would never dare to doubt sheggy ;)

    • 2 years ago
  22. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    hahahaha buddy i just asked u

    • 2 years ago
  23. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    But Sheg why is that 50 at the top?

    • 2 years ago
  24. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    Yes barboat .. plug in the values of a and b and find n

    • 2 years ago
  25. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    same to you aditi

    • 2 years ago
  26. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sum_{1}^{99}\] is'nt it like this

    • 2 years ago
  27. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry n =1 at the bottom

    • 2 years ago
  28. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    No, it's an arithmetic progression .. find the n-th term

    • 2 years ago
  29. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    a = 1 last term = 99 , d = 2 what is n ?

    • 2 years ago
  30. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    aditi the total number of first 50 odd natural numbers are there so i had put 50 at the top

    • 2 years ago
  31. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    how come first 50 ?

    • 2 years ago
  32. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    aditi you know about arithmetic progression ?

    • 2 years ago
  33. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    Yup

    • 2 years ago
  34. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    and the thing which fool is saying that is also another method which is mostly used............and the thing which i m saying as we are having small size so we can calculate easily

    • 2 years ago
  35. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    then use it :) and sheggy point of view is also the same .. 1,3,5,7 so what is the 50th odd number ?

    • 2 years ago
  36. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    i thought the top one was last term and bottom first term

    • 2 years ago
  37. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    No it is the number of iteration

    • 2 years ago
  38. barboat
    Best Response
    You've already chosen the best response.
    Medals 0

    so, Sn= n/2 (100) ? but what do i write on the Sn side ? i cant solve it otherwise

    • 2 years ago
  39. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    iteration?

    • 2 years ago
  40. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    WOW I dont Know Maths =D

    • 2 years ago
  41. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    number of times you want to execute the operation.

    • 2 years ago
  42. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    itration amt batao usko

    • 2 years ago
  43. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    No you know maths .. don't give up so easy :)

    • 2 years ago
  44. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    bataoo

    • 2 years ago
  45. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    which one is number of times you want to execute the operation.

    • 2 years ago
  46. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    hahaha,.............see in simple words it is number of odd numbers that u have to add

    • 2 years ago
  47. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    aditi in which class u r

    • 2 years ago
  48. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    Sheg grade 1 =P

    • 2 years ago
  49. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    number of times you want to execute the operation is upper limit - lower limit..

    • 2 years ago
  50. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    or Grade 1+1 =P

    • 2 years ago
  51. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    ok gr8 so u have to work hard

    • 2 years ago
  52. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    I learnt AP without Sigma

    • 2 years ago
  53. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    you could write sigma notation in various ways

    • 2 years ago
  54. barboat
    Best Response
    You've already chosen the best response.
    Medals 0

    so, Sn= n/2 (100) ? but what do i write on the Sn side ? i cant solve it otherwise

    • 2 years ago
  55. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    just purchase this book K.C.Sinha

    • 2 years ago
  56. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    AP is not sigma .. you will learn sigma probably while doing Riemann sums in definite integral

    • 2 years ago
  57. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok i understood something =P Thanks Fool and Sheg =D Take My Medals =) here you go

    • 2 years ago
  58. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    but I knew back from standard VII or VIII during olympaid training and all, however I was never good then :P also no need to buy any book .. just follow OCW it's great resource :)

    • 2 years ago
  59. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    thanks but I think you did not understand it ? :/

    • 2 years ago
  60. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    \[99 = 1 + (n - 1) \times 2\] \[99 -1 = (n - 1) \times 2\] \[98 = (n - 1) \times 2\] \[\frac{98}{2} = (n - 1) \] \[49 = (n - 1)\] \[49+1 = n\] \[50 = n\]

    • 2 years ago
  61. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    i understood the question barboat asked =)

    • 2 years ago
  62. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    fool buy books by Dr. K. C. Sinha it will help u alot....the books written by him are simply awesome

    • 2 years ago
  63. Aditi-Meow
    Best Response
    You've already chosen the best response.
    Medals 0

    books are so heavy , i would rather carry a Laptop =P

    • 2 years ago
  64. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    @ Barboat what is the formula for nth term of AP \[t_{n} = a + (n -1)d\] where \[t_{n}\] is the nth term a first term d common difference n number of terms

    • 2 years ago
  65. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    btw $$1+3+5+7+99 = \sum \limits_{i =-5}^{45} (2n+11)$$ am I right ?

    • 2 years ago
  66. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    here nth term = 99, a= 1 d = 2 n = ? now plug in these values u will get n

    • 2 years ago
  67. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    I have read the classics Hall and knight in higher algebra sheggy ;)

    • 2 years ago
  68. barboat
    Best Response
    You've already chosen the best response.
    Medals 0

    isnt the formula Sn=n/2 (2a+(n-1)d) ?

    • 2 years ago
  69. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    btw indians can also write some classics

    • 2 years ago
  70. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    sorry buddy I hurt to say but I don't agree . most indian authors plagiarized these classics :(

    • 2 years ago
  71. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    barboat b4 applying that formula u have to apply nth term formula for finding out number of terms

    • 2 years ago
  72. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    Do you know abut the famous Kanetkar books for C and datastructure ?

    • 2 years ago
  73. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    i too carry the same feelings as u but not in case of K. C. Sinha. and in case of finance books i never refer indian authors. I prefer to read other than indian publication house books

    • 2 years ago
  74. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    I don't know about finance but I haven't found any in my domain ..

    • 2 years ago
  75. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    yeah i had found in fiance domain but the master of finance field is also from india and whole world is reading his books only and due to whom i had been to this website

    • 2 years ago
  76. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    Aha that's an interesting fact :)

    • 2 years ago
  77. sheg
    Best Response
    You've already chosen the best response.
    Medals 2

    yeah just google out Aswath Damodaran he is real gem.......m dying to meet this finance wizard

    • 2 years ago
  78. FoolForMath
    Best Response
    You've already chosen the best response.
    Medals 4

    Hmm

    • 2 years ago
  79. barboat
    Best Response
    You've already chosen the best response.
    Medals 0

    mm for the 1+8+27+64+...+1000 series, we can use the Tn=a+(n-1)d formula to find the top number ? but the common difference isnt the same.

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.