Question

Find a formula for the general term a_{n} of the sequence assuming the pattern of the first few terms continues. {10} / {2}, {10} / {4}, 10} / {8}, {10} / {16}, {10} / {32},

an = ______

Answer 1

The general term of the sequence is an = 10 / 2n.

Step-by-step explanation:

The given sequence is {10/2, 10/4, 10/8, 10/16, 10/32}.

We can observe that the denominator of each term is increasing in a pattern. The denominator of the first term is 2, the denominator of the second term is 4, the denominator of the third term is 8, and so on.

Based on this pattern, we can determine that the general term of the sequence is given by:

an = 10 / 2n