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The sum of the series sum(n =8)^(17)1/((...

The sum of the series `sum_(n =8)^(17)1/((n + 2)(n + 3))` is equal to

A

`1/17`

B

`1/18`

C

`1/19`

D

`1/20`

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The correct Answer is:
D
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. Let S(n) denote the sum of first n terms of an A.P. If S(4) = -34,S(3)...

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  2. An A.P. has the property that the sum of first ten terms is half the s...

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  3. The sum of the series sum(n =8)^(17)1/((n + 2)(n + 3)) is equal to

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  4. If two positive numbers are in the ratio 3 + 2sqrt(2) : 3 - 2sqrt(2), ...

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  5. Let x(1), x(2), …… , x(n) be in an A.P. If x(1) + x(4) + x(9) + x(11) ...

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  6. If the second and fifth terms of a G.P. are 24 and 3 respectively, the...

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  7. If the sum of first 75 terms of an A.P. is 2625, then the 38^(th) term...

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  8. If -5, k, -1 are in A.P., then the value of k is equal to

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  9. Let T(n) denote the number of triangles which can be formed by using t...

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  10. if 1,log(9)(3^(1 - x) + 2),log(3)[4.3^(x) - 1] are in A.P. then x equa...

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  11. 1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

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  12. Sum of infinite number of terms in GP is 20 and sum of their square is...

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  13. The value of 2^(1/4), 4^(1/8), 8^(1/16) ...... infty is

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  14. Fifth term of a GP is 2, then the product of 1ts 9 terms is

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  15. If the system of linear equations x + 2ay + az = 0,x + 3by + bz = 0,x ...

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  16. Let f(x) be a polynomial function of second degree. If f(1) = f(-1) an...

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  17. The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

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  18. If x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

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  19. Let T, be the r^(th) term of an A.P. whose first term is a and common ...

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  20. The sum of first n terms of the series 1(2) + 2.2^(2) + 3^(2) + 2.4^(2...

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