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The sum of n terms of a progression is (...

The sum of n terms of a progression is `(2^n-1)`. Show that it is a GP and Find its common ratio.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. The maximum sum of the series 20+19 1/3+18 2/3+...... is (A) 310 (B) ...

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  3. The sum of n terms of a progression is (2^n-1). Show that it is a GP a...

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  4. Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...

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  5. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. 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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  20. 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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