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What is the fifth term when the first term is 6 and the common ratio is 0.5?

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To find the fifth term of a geometric sequence, we need to use the formula:

a_n = a_1 * r^(n-1)

where a_n is the nth term of the sequence, a_1 is the first term, r is the common ratio, and n is the number of the term we want to find.

In this case, we are given that the first term (a_1) is 6 and the common ratio (r) is 0.5. We want to find the fifth term (a_5).

Using the formula, we have:

a_5 = a_1 * r^(5-1)

a_5 = 6 * 0.5^(4)

a_5 = 6 * 0.0625

a_5 = 0.375

Therefore, the fifth term of the sequence is 0.375.

User Manuel Fedele
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