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Find the sum to n terms :1/2+3/2^2+5/2^3...

Find the sum to n terms :`1/2+3/2^2+5/2^3+...+(2n-1)/2^n`

A

`((2n-3)/2^n)`

B

`((2n-3)/2^n)`

C

`(2n+3/2^n)`

D

none of these

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The correct Answer is:
B
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QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
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  3. Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n

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  5. Find the sum of first n groups of (1) + (1+3) +(1+3+9) + (1+3+9 +27) +...

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  6. Find the sum to n terms of the following series : 2+5+14+41 + …

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  7. Find the sum to n terms : 1+ 2x + 3x^2 + 4x^3 + … ,xne 1 :

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  8. Find the sum to infinity of the series 1+3x+5x^2+7x^3+oow h e n|x|<1.

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  9. Find the sum to first n terms : 1+2/3 + 3/(3^2) + 4/(3^3)+….

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  10. Find the sum to n terms of 3 * 2 + 5*2^2 + 7*2^3 + ….

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  11. Find the sum of the series 1+4/5+7/(5^2)+10/(5^3)+...

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  12. Find the sum of the series : 1*3^2 + 2* 5^2 + 3*7^2 + … to 20 terms...

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  14. In a set of four numbers the first three are in G.P and the llast thre...

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  15. The sum of an infinite G.P. is 16 and the sum of the squares of its te...

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