The strain of bacteria will double in size and then divide every 20 min. Let a, be the initial number of bacteria cells, a, the number after 20 min, and a, the number after 20(n-1) min. (a) Write a formula for the nth terma, of the geometric sequence a,, a2, ag, .., an, ... (b) Determine the first value forn where a,>1,000,000 ifa, =500. (c) How long does it take for the number of bacteria to exceed one million?
The strain of bacteria will double in size and then divide every 20 min. Let a, be the initial number of bacteria cells, a, the number after 20 min, and a, the number after 20(n-1) min. (a) Write a formula for the nth terma, of the geometric sequence a,, a2, ag, .., an, ... (b) Determine the first value forn where a,>1,000,000 ifa, =500. (c) How long does it take for the number of bacteria to exceed one million?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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