In the geometric sequence starting with 5 and with a common ratio of 4, what is the 7th term?

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Multiple Choice

In the geometric sequence starting with 5 and with a common ratio of 4, what is the 7th term?

Explanation:
Geometric sequences multiply the previous term by a constant ratio each step, so the nth term is a1 times r^(n−1). With a1 = 5 and r = 4, the seventh term is 5 × 4^(7−1) = 5 × 4^6. Since 4^6 = 4096, the seventh term is 5 × 4096 = 20480. You can verify by listing terms: 5, 20, 80, 320, 1280, 5120, 20480.

Geometric sequences multiply the previous term by a constant ratio each step, so the nth term is a1 times r^(n−1). With a1 = 5 and r = 4, the seventh term is 5 × 4^(7−1) = 5 × 4^6. Since 4^6 = 4096, the seventh term is 5 × 4096 = 20480. You can verify by listing terms: 5, 20, 80, 320, 1280, 5120, 20480.

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