### Home > PC > Chapter 2 > Lesson 2.1.2 > Problem 2-30

2-30.

Brian has the following sums to find: Homework Help ✎

1 + 3

1 + 3 + 5

1 + 3 + 5 + 7

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1 + 3 + 5 + … + 101

Find a shortcut so that he will not have to add the last sum by hand.

1 + 3 = 4 or 2^{2} (How many terms are in the sum?)

1 + 3 + 5 = 9 or 3^{2} (How many terms are in the sum?)

1 + 3 + 5 + 7 = 16 or 4^{2} (How many terms are in the sum?)

(How many terms are in the final sum?)