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Let a sequence be defined by a1=1,a2=1 ...

Let a sequence be defined by `a_1=1,a_2=1` and `a_n=a_(n-1)+a_(n-2)` for all `n >2,` Find `(a_(n+1))/(a_n)` for `n=1,2,3, 4.`

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To solve the problem, we need to find the values of \( a_n \) for \( n = 1, 2, 3, 4 \) using the given recursive formula, and then compute \( \frac{a_{n+1}}{a_n} \) for these values of \( n \). ### Step-by-Step Solution: 1. **Identify the initial values:** - We are given: \[ a_1 = 1, \quad a_2 = 1 ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
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  2. Write the first five terms of each of the following sequences whose n ...

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  3. Let a sequence be defined by a1=1,a2=1 and an=a(n-1)+a(n-2) for al...

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  4. Find the next five terms of each of the following sequences given by: ...

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  5. Find the indicated terms in each of the following sequences whose nth ...

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  6. Write the first five terms of the sequence defined by an=(-1)^(n-1). 2...

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  7. Which term of the A.P. 3,10,17, ... will be 84 more than its 13th t...

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  8. Let sequence by defined by a1=3,an=3a(n-1)+1 for all n >1

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  9. A sequence is defined by an=n^3-6n^2+11 n-6. Show that the first three...

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  10. Which term of the arithmetic progression 8,14,20,26, ... will be 72 ...

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  11. Find the term of the arithmetic progression 9,12,15,18, ... which is 3...

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  12. If the n^(t h) term of an A.P. is (2n+1), find the sum of first n term...

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  13. Two A.P’s have the same common difference. The difference between thei...

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  14. Find the 8th term from the end of the A.P. 7,10,13, ..., 184

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  15. Find the sum of all three digit natural numbers, which are divisible b...

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  16. If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M. between aa n db . Then, fin...

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  17. Find the number of integers between 50 and 500 which are divisible by ...

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  18. 150 workers were engaged to finish a piece of work in a certain number...

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

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  20. Along a road lie an odd number of stones placed at intervals of 10 met...

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