Question

The rule for a sequence where each term is found by multiplying the two previous terms?

A. Term_n = Term_(n-1) * Term_(n-2)
B. Term_n = Term_(n-1) + Term_(n-2)
C. Term_n = Term_(n-1) / Term_(n-2)
D. Term_n = Term_(n-1) - Term_(n-2)

Answer 1

The rule for a sequence where each term is found by multiplying the two previous terms is Option A: Term_n = Term_(n-1) * Term_(n-2). This pattern of multiplying the two previous terms is often seen in sequences and is known as a geometric sequence.

Step-by-step explanation:

The rule for a sequence where each term is found by multiplying the two previous terms is Option A: Term_n = Term_(n-1) * Term_(n-2).

For example, if the first term is 1 and the second term is 2, the third term would be 1 * 2 = 2. The fourth term would then be 2 * 1 = 2, and so on.

This pattern of multiplying the two previous terms is often seen in sequences and is known as a geometric sequence.