Suppose that a strain of bacteria will double in size and then divide every 40 minutes. Let
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Suppose that a strain of bacteria will double in size and then divide every 40 minutes. Let a1 be the initial number of bacteria cells, a2 the number after 40 minutes, and an the number after 40(n - 1) minutes.
(a) Write a formula for the nth term an of the geometric sequence a1, a2, a3, . . . , an, . . . .
(b) Determine the first value for n where an > 1,000,000 if a1 = 100.
(c) How long does it take for the number of bacteria to exceed one million?
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Related Book For
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
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