What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 3?

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term:

Second term:

Common difference is

Now, the explicit formula for an arithmetic sequence is

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

It can also be written as

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is or and domain is all interest greater than or equal to 1.

idn

step-by-step explanation: