## ganeshie8 Group Title ... one year ago one year ago

1. mlb004 Group Title

2. ganeshie8 Group Title

look at the model

3. ganeshie8 Group Title

its height is just 2 feet, whereas the actual ramp was 12feet.

4. ganeshie8 Group Title

so the model is 6 times smaller than the actual ramp

5. ganeshie8 Group Title

look at the grid now

6. ganeshie8 Group Title

can you tell me the length of JL ?

7. ganeshie8 Group Title

@mlb004 still there :)

8. mlb004 Group Title

yes sorry

9. ganeshie8 Group Title

np, take ur time :) see if u can find the length of JL

10. mlb004 Group Title

Ok I am looking at the grid nd trying to figure it out.

11. ganeshie8 Group Title

if you see, both J and L are at same height (60)

12. ganeshie8 Group Title

J is on left side at 10 L is on right side at 34

13. mlb004 Group Title

yes

14. ganeshie8 Group Title

so length of JL = distance between JL= 34-10 = 24

15. mlb004 Group Title

ok

16. ganeshie8 Group Title

so we now knw two lengths of actual ramp. JK = 12 feet JL = 24 feet

17. mlb004 Group Title

yes ok

18. ganeshie8 Group Title

we need to figure out where R goes

19. mlb004 Group Title

ok

20. ganeshie8 Group Title

look at the ramps, JL of actual ramp is represented by PR in model, right ?

21. mlb004 Group Title

yes it is

22. ganeshie8 Group Title

now this is the key :- since the model is 6 times smaller than actual ramp, PR will also be 6 times smaller than JL

23. ganeshie8 Group Title

so, PR = JL/6 = 24/6 = 4

24. mlb004 Group Title

Yes that makes sense

25. ganeshie8 Group Title

good :) so what does that mean ?

26. ganeshie8 Group Title

it means, we need to pick R such that it is 4 feet away from P

27. ganeshie8 Group Title

look at grid now

28. ganeshie8 Group Title

P is located at (30, 20)

29. mlb004 Group Title

yes

30. ganeshie8 Group Title

can we say R can be at (30+4, 20) = (34, 20)

31. ganeshie8 Group Title

?

32. mlb004 Group Title

yes

33. ganeshie8 Group Title

thats it ! point R has to be at (34, 20)

34. mlb004 Group Title

And we explain this usuing reasoning because of all of the above notes?

35. ganeshie8 Group Title

you can compress it :-

36. mlb004 Group Title

ok

37. ganeshie8 Group Title

Since QP(2feet) in model is smaller than JK(12feet) in actual ramp by 12 times, all dimensions in model have to be smaller than actual ramp by 6 times. From the grid, length of JL = 24. JL is represented in model as PR. Since PR has to be 6 times smaller than JL. so PR = 24/6 = 4 feet. Since P is fixed in grid at (30, 20), R point which is 4feet from P can be at (30+4, 20) = (34, 20).

38. mlb004 Group Title

oh ok, thank you so much. :)

39. ganeshie8 Group Title

np :)

40. mlb004 Group Title

What is the sum of the first 12 terms in the Fibonacci Sequence? Term - 1,2,3,4,5,6,7,8,9 Febonacci Number - 1,1,2,3,5,8,13,21,34 Numberical number? _________

41. ganeshie8 Group Title

use this :- sum of first n numbers = (n+2)th numeber - 1

42. ganeshie8 Group Title

since you want to knw suermnsm of first 12 terms, you need to look for (12+2) = 14th number

43. mlb004 Group Title

ok

44. ganeshie8 Group Title

google and tell me, whats the 14th number in fibonacci sequence

45. mlb004 Group Title

Ok, I am doing it now.

46. mlb004 Group Title

It is 377

47. ganeshie8 Group Title

correct! thats the 14th number. subtract 1 to get the sum of first 12 numbers

48. mlb004 Group Title

49. ganeshie8 Group Title

sum of first 12 numbers = (12+2)the number - 1 = 14th number - 1 = 377 - 1 = 376

50. ganeshie8 Group Title

yes thats the answer. you can confirm it by adding manually all 12 numbers !

51. ganeshie8 Group Title
52. mlb004 Group Title

So is the Fibonacci Sequence always the same?

53. ganeshie8 Group Title

Yes

54. mlb004 Group Title

Ok so if it asks what the 13th term in the Fibonacci Sequence is then it would be 233?

55. ganeshie8 Group Title

you're tossing, whether to call 233 ias 13th number or 14th number ?

56. mlb004 Group Title

It asked me : What is the 13th term in the Fibonacci Sequence?

57. mlb004 Group Title

That is a 2nd question, I got and understand the first question.

58. ganeshie8 Group Title

cuz if u start from 0,1 then 14th number wud be 233 if u start from 1,1 then 13th number wud be 233

59. ganeshie8 Group Title

You have posted this :- What is the sum of the first 12 terms in the Fibonacci Sequence? Term - 1,2,3,4,5,6,7,8,9 Febonacci Number - 1,1,2,3,5,8,13,21,34 Numberical number? _________

60. ganeshie8 Group Title

Is this what they gave you to use ?

61. mlb004 Group Title

My chart starts with 1 so I was saying the correct answer would be 233, correct?

62. ganeshie8 Group Title

here it starts from 1,1..

63. ganeshie8 Group Title

yes, if you start from 1,1, then, 13th number is 233

64. mlb004 Group Title

Yes starts 1, 1, 2, 3, 5, 8, 13, 21, 34 and so on. Ok that is what I thought. And one more question please.

65. ganeshie8 Group Title

but actual fibonacci sequence starts from 0,1... but you should use what ur chart shows :)

66. ganeshie8 Group Title

yea sure

67. mlb004 Group Title

Using the same chart starting at 1,1 What is the ratio between 14th and 13th terms in the Fibonacci sequence? Round your answer to five decimal places.

68. ganeshie8 Group Title

14th number : ? 13th number : ?

69. ganeshie8 Group Title

377 233

70. mlb004 Group Title

So you just subtract correct

71. ganeshie8 Group Title

ratio between 14th and 13th terms = $$\large \frac{377}{233}$$

72. ganeshie8 Group Title

ratio means division !

73. mlb004 Group Title

1.6180258

74. ganeshie8 Group Title

dont forget to round it to 5 decimal places

75. mlb004 Group Title

Since it says round to 5 decimal places it would be 1.61803 is that correct?

76. ganeshie8 Group Title

correct

77. mlb004 Group Title

Oh I did it. Thank you so much for explaining that, that actually helped me with 3 problems.

78. ganeshie8 Group Title

np :) btw this 1.61803 is called Golden ratio. it was used in Greek architectures like parthenon building and all... u may google "Golden ratio" if u have interest u wil get to know cool things