Let {f}: {R}\to{R} be a function which satisfiesf(x+y)=f(x)+f(y) \\forallx, y \\inR . If f(1)=2 and{g}( {n})=\sum_{ {k}=1} ^{( {n}-1)} {f}( {k}), {n} \\in {N} then the value of {n}, forwhich g(n)=20, is : [2 Sep 2020 Shift 2]

JEE Mains 02-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 55 of 75

Marks: +1, -0

Let f: R→R be a function which satisfiesf(x+y)=f(x)+f(y)‌∀x, y∈R. If f(1)=2 and g(n)=

( n−1)

∑

k=1

f(k),n∈N then the value of n, forwhich g(n)=20, is :

[2 Sep 2020 Shift 2]

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