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Find the number of terms of a G.P. whose...

Find the number of terms of a G.P. whose first term is ¾, common ratio is 2 and the last term is 384.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

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  2. Let Ssub(0,pi) denote the set of values of x satisfying the equation 8...

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  3. Find the number of terms of a G.P. whose first term is ¾, common ratio...

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  4. In an A.P. (with usual notations) : (i) given a = 7, a13 = 35, find ...

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  5. Find the geometric progression whose 4th term is 54 and the 7th term i...

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  6. The first term of G.P. is 27 and 8th term is 1/81. Find the sum of its...

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  7. The greatest integer by which 1+sum(r=1)^(30)rxxr ! is divisible is a....

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

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

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

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

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

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

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  15. 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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  16. 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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  17. Find the value of k for which k+12, k-6, 3 are in GP.

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

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

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