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Find the sum to n terms of the sequence...

Find the sum to `n` terms of the sequence given by `a_n=2^n,n in Ndot`

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. If |x|<1a n d|y|<1, find the sum of infinity of the following series:...

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

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  3. Find the sum to n terms of the sequence given by an=2^n,n in Ndot

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  4. Sum the series : x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3+ ton terms.

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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. The product of three numbers in G.P. is 216. If 2, 8, 6, be added to ...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. 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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  20. 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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