F 1-1 and f n -1-2 f n -1- for n being a natural number- The value of f 100 is-A- 299-1B- 2100-1C- 2100-1D- 299-1

The correct option is B 2^100 1Option (c) is the correct answer. Check the video for the approach. ...

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Functions

f 1=1 and f n...

Question

f(1) = 1 and f(n+1) = 2f(n)+1, for n being a natural number. The value of f(100) is:

2^{99} + 1

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2^{99} - 1

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2^{100} - 1

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2^{100} + 1

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Solution

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Similar questions

The sum of the coefficients of all the integral powers of x in $(1 + 3 \sqrt{x})^{100}$ is

f (1) = 1, n \geq 1 \Rightarrow f (n + 1) = 2 f (n) + 1

f (n) =

f (1) = 1, f (n + 1) = 2 f (n) + 1, n \geq 1,

f (n)

2^{100} - 2^{99} - 2^{98} \dots \dots - 2^{2} - 2^{1} - 2^{0} =

F (n + 1) = \frac{2 F (n) + 1}{2}

n = 1, 2, \dots

F (1) = 2

F (101)

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