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Let f(x) be a function such that f(x + y...

Let f(x) be a function such that `f(x + y) = f(x)+f(y) AA x, y in N` and f(1) = 4. If `underset(k=1)overset(n) f (a+k) = 2n(33 + n)`, then 'a' equals.......

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To solve the problem, we will follow these steps: ### Step 1: Understand the given functional equation We have the functional equation: \[ f(x + y) = f(x) + f(y) \] for all \( x, y \in \mathbb{N} \) (natural numbers). We also know that \( f(1) = 4 \). ### Step 2: Find \( f(2) \) ...
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