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Anastasy [175]
4 years ago
10

C(n)=-6(-1/3)^n-1 What is the 2nd term in the sequence?

Mathematics
1 answer:
Zielflug [23.3K]4 years ago
6 0

Answer:

the 2nd term = <em>2</em>

Step-by-step explanation:

c(n)=-6(-1/3)^n-1

THen the second term is : c(2) = -6(-1/3)^2-1 = -6(-1/3)^1 = (-6)(-1/3) = 6/3 = 2

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An exponential function can either represent growth or decay

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<u>(a) The initial number of fish and the growth factor</u>

The function is given as:

P(t) = 200 \times 2^{t/4}

An exponential function is represented as:

P(t) = ab^t

Where

  • a represents the initial value
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So, by comparison: the initial value is 200

The growth factor is then calculated as:

b = 2^{1/4}

b = 1.190

Hence, the initial value is 200 and the growth factor is 1.190

<u>(b) The number of fish after 5 years</u>

This means that t = 5.

So, we have:

P(t) = 200 \times 2^{t/4}

P(5) = 200 \times 2^{5/4}

P(5) = 200 \times 2^{1.125}

P(5) = 436

Hence, the number of fish in the pond after 5 years is 436

Read more about exponential functions at:

brainly.com/question/11464095

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3 years ago
a bacteria culture is grown with a population of 45 million cells and kept under observation. the cell population is found to do
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A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can
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Answer:

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Step-by-step explanation:

Let X represent the total number of the calculator, then we can form an equation from the explanation of the question as

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Answer:

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Step-by-step explanation:

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Answer:72 divided by 9 equals 8

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