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Write the first five terms of the sequen...

Write the first five terms of the sequence having the property `a_1=-1a_n=(a_(n-1))/n,nge2` Also, obtain the corresponding series

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Find a20ifan=(n(n-2))/(n+3)

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. 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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  16. 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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  17. Find the sum of odd integers from 1 to 2001

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  18. Find the sum of all natural numbers between 100 and 1000 which are mul...

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  19. In an A.P, the first term is 2 and the sum of the first five terms is ...

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  20. How many terms of the A.P,-6 ,-11/2,-5,...are needed to give the sum -...

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