### Home > PC > Chapter 8 > Lesson 8.2.6 > Problem 8-149

8-149.

Use the mathematical induction to prove the following statement. Homework Help ✎

1^{2} + 2^{2} + 3^{2} + … + *n*^{2} =

1^{2} + ... + *k*^{2} + (*k* + 1)^{2} =

So the induction step is true.

Since we know the statement is true for *n* = 1 and the induction step is true, we know that the statement is true for all positive integers *n*.