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If p ,q ,a n dr are inA.P., show that th...

If `p ,q ,a n dr` are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...

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  3. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

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  5. Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...

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  6. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

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  7. Prove that in a sequence of numbers 49,4489,444889,44448889 in which e...

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  8. Find the sum of first 100 terms of the series whose general term is ...

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  9. If the continued product o three numbers in a G.P. is 216 and the sum ...

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  10. Find the sum of the series 2/(1xx2)+5/(2xx3)xx2+(10)/(3xx4)xx2^2+(17)/...

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  11. The sum of some terms of G. P. is 315 whose first term and the comm...

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  12. A sequence of numbers An, n=1,2,3 is defined as follows : A1=1/2 and f...

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  16. Find the sum sum(r=0) .^(n+r)Cr .

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  17. Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1...

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  18. Write the first five terms of the following sequence and obtain the ...

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