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Find the first four terms, in thousands, of the geometric series. round to the nearest thousand. a1 = a2 = a3 = a4 =

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438 cents Loup
Answer:

The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term

The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

How to determine the first four terms?

The geometric series is given as:

an = 400(1.05)^(n-1)

Substitute 1 for n

a1 = 400 * (1.05)^(1-1)

Evaluate the product

a1 = 400

Substitute 2 for n

a2 = 400 * (1.05)^(2-1)

Evaluate the product

a2 = 420

Substitute 3 for n

a3 = 400 * (1.05)^(3-1)

Evaluate the product

a3 = 441

Substitute 4 for n

a4 = 400 * (1.05)^(4-1)

Evaluate the product

a4 = 463.05

Hence, the first four terms are

a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

Read more about geometric series at:

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