Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Standardized Test Practice - Multiple Choice - Page 846: 6

Answer

See below

Work Step by Step

The number of blocks in the first layer is 2, $a_1=2=2\times1$ The number of blocks in the first layer is 6, $a_2=6=2\times3$ The number of blocks in the first layer is 12, $a_3=12=3\times4$ Hence, the rule is $a_n=n(n+1)$ The correct answer is B.
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