The strain of bacteria double in size and then divide every 20 min. Let a, be the initial number of bacteria cells, a2 tne number after min, an the number after 20(n - 1) min. (a) Write a formula for the nth term a, of the geometric sequence a1, az, az. (b) Determine the first value for n where a, > 1,000,000 if a, = 400. an. (c) How long does it take for the number of bacteria to exceed one million? ..... (a) Choose the correct formula below.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.3: Geometric Sequences
Problem 58SE: Use the recursive formula to write a geometric sequence whose common ratio is an integer. Show the...
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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 term a, of the geometric sequence a,, az, a3, ., an, ...
(b) Determine the first value for n where a, > 1,000,000 if a, = 400.
(c) How long does it take for the number of bacteria to exceed one million?
(a) Choose the correct formula below.
O A. a, = 2"-1
B. a, = a, •2"-1
OC. a, = a, •2"
O D. an = a
(b) The first value for n is (Round up to the nearest integer.)
Transcribed Image Text: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 term a, of the geometric sequence a,, az, a3, ., an, ... (b) Determine the first value for n where a, > 1,000,000 if a, = 400. (c) How long does it take for the number of bacteria to exceed one million? (a) Choose the correct formula below. O A. a, = 2"-1 B. a, = a, •2"-1 OC. a, = a, •2" O D. an = a (b) The first value for n is (Round up to the nearest integer.)
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