Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - Common Core Cumulative Standards Review - Selected Response: 22

Answer

a) \begin{array}{c|ccc}& \textbf{Term} & \textbf{Value} & \textbf{Ones Digit} \\\hline1 & 7^1 & 7 & 7 \\2 & 7^2 & 49 & 9 \\3 & 7^3 & 343 & 3 \\4 & 7^4 & 2401 & 1 \\5 & 7^5 & 16807 & 7 \\6 & 7^6 & 117649 & 9 \\7 & 7^7 & 823543 & 3 \\8 & 7^8 & 5764801 & 1 \end{array} b) 9

Work Step by Step

The ones digit sequence repeats every 4th entry. 34 is two past a multiple of 4 (32), so the ones digit at entry 34 is the same as the ones digit at entries 2 and 6. The ones digit at entry 34 is 9.
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