The formula for the sum of the first n positive perfect squares, where n is a positive integer, is expressed as n^33 + c*n^2 + n6, with c being a constant. What is the sum of the first 12 positive perfect squares?

The formula for the sum of the first n positi… | GMAT Sprint

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655-705

Algebra

The formula for the sum of the first n positive perfect squares, where n is a positive integer, is expressed as $\frac{n^3}{3} + c*n^2 + \frac{n}{6}$ , with $c$ being a constant. What is the sum of the first 12 positive perfect squares?

Correct answer marked below

650

Correct

780

910

1,050

1,200

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Explanation

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The first perfect square is 1, so when n = 1, the sum is

1 = \frac{1}{3} + \frac{1}{6} + c

, which leads to [m]c =…

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What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.