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Functions question

2022 · 25 Jun · Shift 1 · Q25

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PYQ Library
JEE Main
Mathematics
Functions
2022 · 25 Jun · Shift 1 · Q25

Functions question

2022 · 25 Jun · Shift 1 · Q25

JEE MainMathematicsFunctionsMCQ+4 / −1

Let f : N

\to

R be a function such that

f(x + y) = 2f(x)f(y)

for natural numbers x and y. If f(1) = 2, then the value of

\alpha

for which

\sum\limits_{k = 1}^{10} {f(\alpha + k) = {{512} \over 3}({2^{20}} - 1)}

holds, is :

A
2
B
3
C
4
D
6

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