Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 2 - Reasoning and Proof - 2-1 Patterns and Inductive Reasoning - Got It? - Page 83: 3


The sum of the first 30 odd numbers is $30^2$, or 900.

Work Step by Step

Find the first few terms and look for a pattern 1 term: 1=1 2 terms: 4=1+3 3 terms: 9=1+3+5 4 terms: 16=1+3+5+7 5 terms: 25=1+3+5+9 At each position, the sum is the square of the number of terms.
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