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The 24th term of an A.P. is twice its 10...

The 24th term of an A.P. is twice its 10th term. Show that its 72nd term is four times its 15th term.

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In a certain A.P the 24th term is twice the 10th term. Prove that the 72nd term is twice the 34th term .

The rth terms of an A.P is n and it's nth term is r, show that its mth term is r+n - m.

The mth terms of a G.P is n and its nth term is m. Find its (2m - n)th term.

The 17th term of an AP exceeds its 10 th term by 7. Find the common difference.

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The pth term of an A.P. is 2p-7, which of the following will be its 4th term ?

Find the 31st term of an A.P. whose 11th term is 38 and 6th term is 73.

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If 9^(th) term of an A.P. is zero, prove that its 29^(th) term is double the 19^(th) term.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If sum of an infinite G.P. : p ,1,1//p ,1//p^2, ........ is 9//2 then ...

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

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

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  5. 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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  6. 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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  7. Find the value of k for which k+12, k-6, 3 are in GP.

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

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

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  11. 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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  12. 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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  13. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

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

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

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

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

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

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

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

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