defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Relations and Functions Functions and its properties
If a continuous function f:R → R is defined as f(x + y) = f(x) + f(y), ∀x, y ∈ R and f(1) = 10, then, \(\displaystyle\sum_{r=1}^{n}\)(f(r))2 =
1
\(\frac{7}{2}\)n(n + 1)
2
5n(n + 1)
3
\(\frac{50}{3}\)n(n + 1)(2n + 1)
4
\(\frac{100}{4}\)n2(n + 1)2