Suppose a sequence an, is defined as follows:a1 = 9/10, a2 = 10/11, an+2 = an+1an

To find the general term of the sequence, we can observe the pattern in the first few terms.

Given a1 = 9/10, a2 = 10/11, and the recursive formula an+2 = an+1 * an, we can calculate the first few terms:

a1 = 9/10 a2 = 10/11 a3 = a2 * a1 = (10/11) * (9/10) = 90/110 = 9/11 a4 = a3 * a2 = (9/11) * (10/11) = 90/121 = 10/12 a5 = a4 * a3 = (10/12) * (9/11) = 90/132 = 15/22

From this, we can see that the sequence is decreasing and the denominator is increasing by 1 each time. Therefore, the general term of the sequence an can be expressed as:

an = n / (n + 1) for n ≥ 1

This formula gives the same values as the given recursive formula for the first few terms, so it is a valid formula for the sequence.