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In a G.P the sum of the first and last t...

In a G.P the sum of the first and last terms is 66, the product of the second and the last but one is 128, and the sum of the terms is 126
If the decresing G.P is considered , then the sum of infinite terms is

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. The product of three numbers in G.P. is 216. If 2, 8, 6, be added to ...

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  2. Find the sum of 10 terms of the G.P. 3, 6, 12,...

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  3. In a G.P the sum of the first and last terms is 66, the product of the...

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

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

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

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

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

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

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

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  11. A square is drawn by joining the mid-points of the sides of a square. ...

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  12. After striking a floor a certain ball rebounds (4/5)^(t h) of the heig...

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  13. Sum the following geometric series to infinity: 1/2+1/(3^3)+1/(2^3)+1/...

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  14. 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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  15. 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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  16. 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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  17. Prove that the product n geometric means between two quantities is equ...

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  18. If a ,b ,c ,d are four distinct positive numbers in G.P. then A. a +...

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  19. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n)may be the geo...

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  20. Insert 5 geometric means between 576 and 9.

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