Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kenneyfamily

  • 2 years ago

What is the difference between an arithmetic and geometric sequence?

  • This Question is Closed
  1. Rohangrr
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Arithmetic formula: \[ t_n = t_1 + (n - 1)d \] \[t_n \] is the nth term, \[t_1 \] is the first term, and d is the common difference

  2. Rohangrr
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Geometric formula: \[ t_n = t_1 . r^(n - 1) \] \[t_n \] is the nth term, \[t_1 \] is the first term, and r is the common ratio.

  3. Rohangrr
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Did you get the concept @kenneyfamily

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

    yes!

  5. shruti
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Arithmetic sequences have a constant difference between terms: 1, 3, 5, 7,... The difference between successive terms is 2. The general formula for the nth term is a(n) = a(1) + d·(n-1) where a(1) = the initial term , d = difference between terms. So to find the 5th term (which we can see in the sequence should be 9), we plug in n = 5 a(5) = 1 + 2·(5-1) = 1+2·4 = 9 WHEREAS Geometric sequences have a constant ratio between terms: 2, 6, 18, 54, ... The ratio between successive terms is 3. The general formula for the nth term is a(n) = a(1)·r^(n-1), where a(1) is the first term and r is the ratio. So to find the 5th term (which we can see in the sequence should be 162), we plug in n = 5 EXAMPLE.. a(5) = 2·3^(5-1) = 2·3^4 = 2·81 = 162

  6. angela210793
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    arithmetic sequence is a sequence of numbers such tht the difference of two condegutive numbers is a constant|dw:1341738867627:dw| geometirc sequence is a sequence of numbers such tht the quotient between two consegutive numbers is a constant|dw:1341739044301:dw|

  7. Rohangrr
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    if more Arithmetic sequences have a constant difference between terms: 1, 3, 5, 7,... The difference between successive terms is 2. The general formula for the nth term is a(n) = a(1) + d·(n-1) where a(1) = the initial term, d = difference between terms. So to find the 5th term (which we can see in the sequence should be 9), we plug in n = 5 a(5) = 1 + 2·(5-1) = 1+2·4 = 9 Geometric sequences have a constant ratio between terms: 2, 6, 18, 54, ... The ratio between successive terms is 3. The general formula for the nth term is a(n) = a(1)·r^(n-1), where a(1) is the first term and r is the ratio. So to find the 5th term (which we can see in the sequence should be 162), we plug in n = 5 a(5) = 2·3^(5-1) = 2·3^4 = 2·81 = 162

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

    AWESOME GUYS...THANK YOU SO MUCH!!! :)

  9. angela210793
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    did u guys copy=pasted the same thing O.o

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

    Two videos worth watching: http://patrickjmt.com/quick-intro-to-arithmetic-sequences/ http://patrickjmt.com/a-quick-intro-to-geometric-sequences/

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.