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If S is the sum to infinite terms of a G...

If S is the sum to infinite terms of a G.P whose first term is 'a', then the sum of the first n terms is

A

`S(1-(a)/(S))^n`

B

`S[1-(-(a)/(S))^n]`

C

`a[1-(1-(a)/(S))^n]`

D

None of these

Text Solution

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The correct Answer is:
B
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MOTION-SEQUENCE & SERIES -Exercise -1 Objective Problems /JEE Main Section -A : AP
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  2. If the third term of G.P. is 4, then find the product of first five te...

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  5. In a G.P. of positive terms if any terms is equal to the sum of next ...

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  6. if 3+1/4(3+d)+1/4^2 (3+2d)+.................oo=8 then the value of d i...

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  9. 1+2(1+1//n)+3(1+1//n)^2+…..prop terms , equals.

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  10. If fourth term of an HP is 3/5 and its 8^(th) term is 1/3, then its fi...

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  11. If a1,a2,...an are in H.P then the expression a1a2+a2a3+....+a (n-1)a...

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  12. The sum sum(r=2)^oo1/(r^2-1) is equal to

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  14. If 1^2+2^2+3^2+n^2-1015 then the value of n is equal to (A) 13 (B) 14 ...

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  15. If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...

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  16. v31

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  17. If x,y,z are AM, GM and HM of two positive numbers respectively, then ...

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  18. The A.M. between two positive numbers exceeds the GM by 5, and the GM ...

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  19. If A,G & 4 are A.M, G.M & H.M of two numbers respectively and 2A + G^2...

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  20. If A, G & H are respectively te A.M., G.M. & H.M. of three positive nu...

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