Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 14 - Sequences, Series, and the Binomial Theorem - 14.1 Sequences and Series - 14.1 Exercise Set - Page 895: 90

Answer

$2^{0},2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^{8},2^{9},2^{10},2^{11},2^{12},2^{13},2^{14},2^{15},2^{16}$

Work Step by Step

If a cell divides in two every 15 minutes, then in 4 hours there will be $\dfrac{4\cdot60}{15}=16$ divisions. Then the number of cells every 15 minutes will be the sequence: $$1,2,4,8,16,32,64,128,256,512,1024, .. .$$ It's easier to represent these numbers as powers of two. $2^{0},2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^{8},2^{9},2^{10},2^{11},2^{12},2^{13},2^{14},2^{15},2^{16}$
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