f(x) = x(x + 1) ; x = 1,2,3, ........ Find the value of S = f(1) + f(2) + f(3) + ............. + f(10).
Explanation:
Given, f(x) = x(x + 1)
f(1) + f(2) + f(3) + ............. + f(10) = Σx(x + 1) = Σx2 + Σx
= (12 + 22 + 32 + … + 102) + (1 + 2 +3 + … + 10)
= 385 + 55 = 440.
Hence, option (c).
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