A culture of bacteria doubles every 2 hours. If there are 500 bacteria
at the beginning, how many bacteria will there be after 24 hours?
Is this
sequence arithmetic or geometric?
What is
the initial term?
What is
the rate of change (common ratio or common difference)?
Solution: There are 500 bacteria to start, doubling every 2 hrs..
<span><span>Such bacterial growth is a geometric
sequence with a common ratio of 2. </span></span>
<span><span>The
number of times the bacteria doubles is 12 times during a 24 hour period.
</span></span>
<span><span>The starting number is 500 and the common ratio is 2 hours. The total number of bacteria is 2,048,000.
</span>
</span>
<span>Determine if the sequence is
geometric. If it is, find the common
ratio.</span>
9). - 1, - 6, - 36, 216, ...... Geometric - Yes, Common Ratio is - 6
9). - 1, - 1, 4, 8,...... Geometric - No
10). 4, 16, 36, 64, ..... Geometric - No
10). - 3, - 15, - 75, - 375,......Geometric - Yes, Common Ratio is 5
11). - 2, - 4, - 8, - 16,...... Geometric - Yes, Common Ratio is 2
11). 1, 5, 25, - 125,...... Geometric - Yes, Common Ratio is - 5
Hope this helps!!!!!
