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krek1111 [17]
2 years ago
9

Find the missing terms in the following geometric sequence.

Mathematics
1 answer:
qaws [65]2 years ago
7 0

Answer:

Answer: Option d. 36,108 is the correct answer.

Step-by-step explanation:

In this question we have given a sequence of four terms and we know the first and last term.

Now we have to calculate the ratio of the terms so that we can complete the sequence.

We know the formula of the sequence A(n) = A(1)r^{n-1}

Now we know A(4)=324

A(1) = 12

n = 4

So we the values in the formula

324 = 12(r^{4-1)}

324 = 12r^{3}

r^{3} =\frac{324}{12}

r=\sqrt[3]{27}

r = 3

So the sequence will be 12,36,108,324

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A paper company needs to ship paper to a large printing business. The a paper will be
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Given :

A paper company needs to ship paper to a large printing business.

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Determine the number of small boxes shipped and the number of large boxes shipped.

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Let "S" be small boxes and "L" be large boxes.

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orrrrrr

The number of small boxes is 8 and that of the large boxes is 11.

Step-by-step explanation:

Each small box of paper weighs 50 pounds and each large box of paper

weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Let there are x small boxes and y large boxes.

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x + y = 19 ............ (1) and

50x + 80y = 1280

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Therefore, the number of small boxes is 8 and that of the large boxes is 11. (Answer)

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