Sets, Relations and Functions: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Apr, Morning shift · Q3861

JEE Main 20199 Apr, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

\sum\limits_{k = 1}^{10} {f(a + k) = 16\left( {{2^{10}} - 1} \right)}

where the function ƒ satisfies ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number 'a' is

JEE Main 2019 · 9 Apr, Morning shift · Q3861

JEE Main 20199 Apr, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

\sum\limits_{k = 1}^{10} {f(a + k) = 16\left( {{2^{10}} - 1} \right)}

where the function ƒ satisfies ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number 'a' is

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