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The sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  3. The sum of infinite number of terms in G.P. is 20 and the sum of their...

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  5. Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.

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  6. Three numbers are in G.P. whose sum is 70. If the extremes be each mul...

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  7. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n d z=c+c/(r^2)+c/(r^4)+o...

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  8. Find the sum 1+4+13+40+121+dot

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  9. If each term of an infinite G.P. is twice the sum of the terms foll...

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  10. The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...

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  11. Find the sum of the following series: (sqrt(2)+1)+1(sqrt(2)-1)+..........

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  12. If the set of natural numbers is partitioned into subsets S1={1},S2={2...

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  13. If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...

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  16. If sum(r=1)^n tr=n/8(n+1)(n+2)(n+3), then find sum(r=1)^n1/(tr)dot

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  17. Find the sum to n terms of the series :1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ....

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  18. If the sum to infinity of the series 3+(3+d)1/4+(3+2d)1/(4^2)+......oo...

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  19. Find the sum to infinity of the series 1^2+2^2x+3^2x^2+oodot

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