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If f(1) = 1, f(n+1)= 2f (n) + 1, n ge 1 ...

If `f(1) = 1, f(n+1)= 2f (n) + 1, n ge 1` then f(n) = .........

A

`2^(n)+1`

B

`2^n`

C

`2^(n)-1`

D

`2^(n-1)-1`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
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  10. Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is……

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  11. If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2 then f(X) =..........

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  16. A set A has 3 elements and a set B has 4 elements . The number of one...

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  19. f: [0,oo) rarr [0,oo) , f(x) = x/(1+x) then the function f is ...........

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