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(lim)(ntooo)sum(r=1)^n r/(1xx3xx5xx7xx9x...

`(lim)_(ntooo)sum_(r=1)^n r/(1xx3xx5xx7xx9xx.....xx(2r+1))` is equal to `1/3` b. `3/2` c. `1/2` d. none of these

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. The greatest integer by which 1+sum(r=1)^(30)rxxr ! is divisible is a....

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  3. (lim)(ntooo)sum(r=1)^n r/(1xx3xx5xx7xx9xx.....xx(2r+1)) is equal to 1/...

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  4. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal ...

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  5. Find the third term of a G.P. whose common ratio is 3 and the sum of w...

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  6. If sum of an infinite G.P. : p ,1,1//p ,1//p^2, ........ is 9//2 then ...

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  7. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

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  8. The 24th term of an A.P. is twice its 10th term. Show that its 72nd te...

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  9. If the seventh term of an A.P. is 1/9 and its ninth term is 1/7, find ...

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  10. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

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  11. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

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  12. Find the value of k for which k+12, k-6, 3 are in GP.

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  15. If a,b,c are in GP, Prove that, a(b^2+c^2) =c(a^2+b^2)

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  17. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

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  18. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

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  19. The third term of a geometric progression is 4. Then the product of t...

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  20. In triangle ABC medians AD and CE are drawn, if AD=5, angleDAC= pi/8 a...

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