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Find `a_7ifa_n=n^2/2^n`

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Write the first 5 terms of each of the sequences whose n^(th) terms ar...

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  2. Find a17 and a24 if an=4n-3

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  3. Find a7ifan=n^2/2^n

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  4. find a9ifan=(-1)^(n-1)n^3

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  5. Find a20ifan=(n(n-2))/(n+3)

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  6. Find the first 5 terms of the sequence having the property a1=3,an=3a(...

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  7. Write the first five terms of the sequence having the property a1=-1an...

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  8. Write the first five terms of the sequence having the property a1=a2=2...

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  9. The Fibonacci sequence is defined by 1=a1=a2 and an=a(n-1)+a(n-2),ngt2...

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  10. The n^(th) term of a sequence is given by an=2n+7. Prove that the. seq...

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  11. Which term of the sequence 72,70, 68,66,….is 40?

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  12. The 6^(th) and 17^(th) terms of an A.P are 19 and 41 respectively, fin...

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  13. If 9^(th) term of an A.P is zero, prove that its 29^(th) term is doubl...

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

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  15. If the sum of p terms of an AP is the same as the sum of its q terms, ...

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  16. How many terms of the sequence 54,51,48, ...be taken so that their sum...

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

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  18. The sum of three numbers in A.P. is -3,'and their product is 8. Find t...

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  19. If a, b, c are in A.P, prove that 1/(bc),1/(ca),1/(ab) are also in A.P...

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  20. If (b+c-a)/a,(c+a-b)/b,(a+b-c)/c are in A.P, prove that 1/a,1/b,1/care...

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