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

For the series, `S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7))(1+2+3+4)^2` +...
a.7th term is 16
b.7th term is 18
c. Sum of first 10 terms is `(505)/4`
d. Sum of first 10 terms is `(45)/4`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. The 24th term of an A.P. is twice its 10th term. Show that its 72nd te...

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

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  3. 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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  4. 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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  5. Find the value of k for which k+12, k-6, 3 are in GP.

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  6. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

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  7. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

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

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  9. If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c ...

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

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

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

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  14. If tk is the kth term of a G.P., then show that t(n - k), tn, t(n + k)...

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  15. If pth, qth, and rth term of an AP are equal to corresponding terms of...

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  16. Sum of 1/(sqrt(2)+sqrt(5))+1/(sqrt(5)+sqrt(8))+1/(sqrt(8)+sqrt(11))+1/...

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  17. If fourth term of an HP is 3/5 and its 8th term is 1/3 , then find it...

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  18. If a,b, c are in GP, Prove that a^2, b^2 , c^2 are in GP.

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  19. If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P....

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  20. If (p^2+q^2), (pq+qr), (q^2+r^2) are in GP then Prove that p, q, r are...

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