List of top Mathematics Questions on Series asked in AMUEEE

For all real $ x, 4^{sin^2x}+ 4cos^{2x} $ is

Let $ V_r $ denote the sum of the first $ r $ terms of an arithmetic progression $ (AP) $ whose first term is $ r $ and the common difference is $ (2r - 1) $ . The sum $ V_1 + V_2 + ..... + V_n $ is

If the sum of first $ n $ natural numbers is $ 1/5 $ times the sum of their squares, then $ n $ is equal to