In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the common difference. similarly, in a geometric sequence, the nth term is given by 1an=a1•rn−1, where r is the common ratio. use these formulas to determine the indicated term in the given sequence.
the 10th term of 40,10, 5/2, 5/8,

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

We have that:

This is not an arithmetic sequence.

This sequence is geometric if:

This is a geometric sequence, in which:

The first term is 40, so

The common ratio is , so .

We have that:

The 10th term is . So:

Simplifying by 4, we have:

true

step-by-step explanation: