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Find the sum of the cube of the first 6 even numbers.
Question



Find the sum of the cube of the first 6 even numbers.

A.

3224

B.

3322

C.

3528

D.

3526

Correct option is C

First 6 even numbers: 2,4,6,8,10,12Cubes of the numbers:23=843=6463=21683=512103=1000123=1728Sum of the cubes:8+64+216+512+1000+1728=3528\textbf{First 6 even numbers:} \ 2, 4, 6, 8, 10, 12 \\[10pt]\textbf{Cubes of the numbers:} \\2^3 = 8 \\4^3 = 64 \\6^3 = 216 \\8^3 = 512 \\10^3 = 1000 \\12^3 = 1728 \\[10pt]\textbf{Sum of the cubes:} \\8 + 64 + 216 + 512 + 1000 + 1728 = \boxed{3528}​​

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