Question: Find a pattern in the equations below, and use inductive reasoning to predict the right side of the third equation. Then predict the fifth equation.

Find a pattern in the equations below, and use inductive reasoning to predict the right side of the third equation. Then predict the fifth equation. Evaluate both sides of the fifth equation, and determine if the pattern holds for this equation.

21²+ 22²+ 23²+ 24²= 25²+ 26²+ 27²

36²+ 37²+ 38²+ 39²+ 40²= 41²+ 42²+ 43²+ 44²

55²+ 56²+ 57²+ 58²+ 59²+ 60²=

a. Sum on left side of 5th equation?

b. Sum on right side of 5th equation?

c. Pattern holds?

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