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Norma-Jean [14]
3 years ago
11

Select the correct answer.

Mathematics
1 answer:
joja [24]3 years ago
3 0

Answer:

D. 21/2

Step-by-step explanation:

We simply have to evaluate the first three terms based on the progression's formula:

t= 1,  the first term is 8, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{1-1} = 8 * 1 = 8

t=2, the second term is 2, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{2-1} = 8 * \frac{1}{4} = 2

t=3, the third term is 1/2, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{3-1} = 8 * \frac{1}{16} = \frac{1}{2}

The sum of the first 3 terms is then: 8 + 2 + 1/2 = 10 1/2

Among the answer choices, D. 21/2, which is 10 1/2.

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