Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - Monitoring Progress - Page 290: 2

Answer

The sum in the tenth row is $512.$

Work Step by Step

To find a pattern, try dividing neighboring terms in the sequence: $2/1=2$ $4/2=2$ $8/4=2$ $16/8=2$ $\vdots$ So, we can conclude that each next term in the sequence is obtained by multiplying the previous one by $2$ The ninth term is: $128\times 2=256$ The tenth term is $256\times 2=512$ The sum in the tenth row is $512.$
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