5. Find the first, fourth, and tenth terms of the arithmetic
sequence described by the given rule.
A(n)= -6+(n-1)(1/5)

The first, fourth and tenth terms of the arithmetic sequence is and

Explanation:

The given rule for the arithmetic sequence is

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute in the general rule for the arithmetic sequence.

To find the first term, substitute in , we get,

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute in , we get,

Thus, the fourth term of the arithmetic sequence is

To find the tenth term, substitute in , we get,

Thus, the tenth term of the arithmetic sequence is

Hence, the first, fourth and tenth terms of the arithmetic sequence is and