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The Fibonacci sequence is defined by `a_1=1=a_2,\ a_n=a_(n-1)+a_(n-2)` for `n > 2.` Find `(a_(n+1))/(a_n)` for `n=1,2,3,4, 5.`

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The Fibonacci sequence is defined by 1=a_1=a_2 and a_n=a_(n-1)+a_(n-2),n >2 . Find (a_(n+1))/(a_n), for n = 1, 2, 3, 4, 5.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Write the first five terms in each of the following sequence: a1=1=\ a...

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  2. Write the first five terms in each of the following sequence: a1=a2=2,...

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  3. The Fibonacci sequence is defined by a1=1=a2,\ an=a(n-1)+a(n-2) for n ...

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  4. Show that each of the following sequences is an A.P. Also, find the ...

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  5. Show that each of the following sequences is an A.P. Also, find the ...

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  6. The nth term of a sequence is given by an=2n^2+n+1. Show that it is no...

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  7. Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term...

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  8. Which term of the sequence 4,9,14,19…. is 124?

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  9. How many terms are there in the sequence 3,6,9, 12 ,....... 111 ?

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  10. Is 184 a term of the sequence 3,7,11, ... ?

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  11. If pth,qth and rth terms of an A.P. are a, b, c respectively, then sho...

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  12. If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, the...

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  13. Show that the sum of (m+n)^(t h)a n d\ (m-n)^(t h) term of an A.P. is ...

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  14. If m times the m^(t h) term of an A.P. is equal to n times its n^(t h)...

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  15. If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove ...

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  16. If the mth term of an A.P. be 1//n and nth term be 1//m then show that...

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  17. Determine the number of terms in the terms in the A.P. 3,7,11…407. ...

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  18. How many numbers of two digits are divisible by 7?

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  19. Show that there is no A.P. which consists of only distinct prime nu...

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  20. In the arithmetic progressions 2,5,8,… upto 50 terms and 3,5,7,9… upto...

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