Question

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

Answer 1

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Explanation:

If our arithmetic sequence has the first term 5 and second 3, thus the diference is -2

The general term for an arithmetic sequence is given by

`a_n=a_1+(n-1)d` where `a_1` is the first term and `d` is the constant diference. Appliying this to our problem

`a_n=5+(n-1)(-2)=-2n+2+5=-2n+7` or if you want `a_n=7-2n`