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If S1,S2a n dS3 be respectively the sum...

If `S_1,S_2a n dS_3` be respectively the sum of n, 2n and 3n terms of a G.P., prove that `S_1(S_3-S_2)=(S_2-S_1)^2`

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
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  2. In a G.P the sum of the first and last terms is 66, the product of the...

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  3. If S1,S2a n dS3 be respectively the sum of n, 2n and 3n terms of a G....

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  4. Determine the number of terms in G.P. if a1=3,an=96 and Sn=189.

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  5. How many terms of the geometric series 1+4+16+64+ will make the sum 54...

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  6. Find the sum of an infinitely decreasing G.P. whose first term is equa...

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  7. If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...

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  8. The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 ,...

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  9. Which is the rational number having the decimal expansion 0.3 bar( 56)...

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  13. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n dz=c+c/(r^2)+c/(r^4)+oo, ...

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  14. If x=1+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove...

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  15. If A=1+r^a+r^(2a)+ to oo and B=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...

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  16. Prove that the product n geometric means between two quantities is equ...

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  19. Insert 5 geometric means between 576 and 9.

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  20. Let x be the arithmetic mean and y ,z be tow geometric means between a...

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