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Show that the ratio of the sum of first ...

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+ 1)th to (2n)th term is `1/r^n`.

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OMEGA PUBLICATION-SEQUENCE AND SERIES -MULTIPLE CHOICE QUESTIONS MCQs
  1. Show that the ratio of the sum of first n terms of a G.P. to the sum o...

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  2. If a, b, c, d, e,f are in A.P., then e - c is equal to

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  3. The fourth term of an A.P. is 4. Then the sum of the first 7 terms is:

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  4. The two geometric means between 1 and 64 are

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  5. If second term of a GP. is 2 and the sum of its infinte terms is 8, th...

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  6. If A.M. between two numbers is 5 and their G.M is 4, then their H.M is...

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  7. The following consecutive terms 1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x)) ...

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  8. 1/(1.2) -1/(2.3) + 1/(3.4) - 1/(4.5) + …….. Is:

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  9. If the pth,term of an A.P. is q and the qth is p, then the rth term is

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  10. cos x = b. For what value of b do the roots of the equation form an A....

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  11. In a certain AP, 5 times the 5th term is equal to 8 times the 8th term...

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  12. If the first term of an A.P. is 2 and common difference is 4, then sum...

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  13. The product (32), (32)^(1//6) (32)^(1//36)…..infty is equal to:

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  14. If the first two terms of harmonic progression be 1/2, 1/4 then the ha...

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  15. A G.P consists of an even number of terms. If Sum of all terms of a G....

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  16. Three numbers a,b and c are in A.P if:

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  17. If the third term of an A.P is 12 and the seventh term is 24, then the...

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