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.

Suppose that a strain of bacteria will double in size


(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 a= 100.

(c) How long does it take for the number of bacteria to exceed one million?

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Related Book For  answer-question

College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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