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Find the sum of first n term of a G.P.1+...

Find the sum of first `n` term of a G.P.`1+(1)/(2)+(1)/(4)+(1)/(8)+...`

A

`(1)/(2^(n))`

B

`(1)/(2^(n)) + 1`

C

` 1 - (1)/(2^(n))`

D

`2(1 - (1)/(2^(n)))`

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[ If 2 is the sum of infinity of a G.P.,whose first clement is 1 ,then the sum of the first n terms is [ 1) (2^(n)-1)/(2^(n)), 2) (2^(n)-1)/(2^(n-1)), 3) (2^(n-1)-2)/(2), 4) (2^(n-1)-1)/(2^(n))]]

AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - A) One option is correct
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  3. Find the sum of first n term of a G.P.1+(1)/(2)+(1)/(4)+(1)/(8)+...

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  4. The n^(th) term of a GP is 128 and the sum of its n terms is 255. If i...

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  5. How many terms of the series 1+3+9+ .. .........sum to 364?

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  6. If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b, determ...

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  7. If the sum of three numbers in a GP. is 26 and the sum of products tak...

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  8. If a,b,c are in G.P then (b-a)/(b-c)+(b+a)/(b+c)=

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  9. If x , 2x+2,and 3x+3 are the first three terms of a G.P., then the fou...

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  10. If G(1) . G(2) , g(3) are three geometric means between two positi...

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  11. The fifth term of a G.P. is 32 and common ratio is 2 , then the su...

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  12. If the sum of first three numbers in G.P. is 21 and their product i...

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  13. If x, y z are the three geometric means between 6, 54, then z =

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  14. If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

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  15. Three positive numbers form an increasing GP. If the middle terms in t...

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  16. If a, b, c form a G.P. with common ratio r such that 0 < r < 1, and if...

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  17. If x, y, z are in A.P.; ax, by, cz are in GP. and 1/a, 1/b, 1/c are in...

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  18. If second third and sixth terms of an A.P. are consecutive terms o a ...

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  19. If distinct positive number a , b, c, are in G.P. and (1)/(a-b), (...

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  20. The sum 1 + 3 + 3^(2) + …+ 3^(n) is equal to

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