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The seventh term of the sequence is 364.5
<h3>Geometric progression </h3>
From the question, we are to determine the seventh term of the sequence
Using the formula,

Where
is the nth term
a is the first term
and r is the common ratio
From the given information,
a = 1/2
r = 3
Thus,




Hence, the seventh term of the sequence is 364.5
Learn more on Geometric progression here: brainly.com/question/24643676
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Answer:
Number of bacteria when t = 10 min is 3,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 10 min = 10 / 60 = 0.1667 hour
where t is number of hours
Find:
Number of bacteria when t = 0.1667 hour
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0.1667
Q(10) = 2(729⁰'¹⁶⁶⁷)
We know that;
a⁰ = 1
So,
Q(0.1667) = 2(729⁰)
Q(0.1667) = 3
Number of bacteria when t = 0 is 3,000
So you have to round up if it is 5 or higher and dont if 4 or lower so the nerest is 104 liters