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,

The 10th term of given sequence  is .

Step-by-step explanation:

The given sequence is

The given sequence is a geometric sequence because it have common ratio.

In the given sequence the first term of the sequence is 40.

The nth term of a GP is

where, is first term and r is common ratio.

Substitute and in the above formula.

Substitute n=10 , to find the 10th term.

Therefore the 10th term of given sequence  is .

38 was the other number of your question.