Answer
The ${{n}^{th}}$ term of the sequence described in Exercise 1 is given by the formula:
${{a}_{n}}$ = ${{a}_{1}}+\left( n-1 \right)d $, where ${{a}_{1}}$ is the first term and $ d $ is the common difference of the sequence.
Work Step by Step
It is a sequence where after the first term the difference between every term and its preceding term is a constant.
The difference between the consecutive terms is called the common difference of the sequence.
The initial term of the sequence is ${{a}_{1}}$ and the common difference is d; the nth term can be determined by ${{a}_{n}}={{a}_{1}}+\left( n-1 \right)d $.