Question

What is the nth term of the arithmetic sequence 5,12,19,16?

Answer 1

`n^(th)` term is `7n-2`..

Explanation:

`n^(th)` term of an arithmetic sequence `{a,a+d,a+2d,..}`, where `a` is first term and `d` is difference between a term and it's preceding term is given by `a+(n-1)d`.

Here `a=5` and `d=7` so `n^(th)` term will be `5+(n-1)xx7=5+(n-1)xx7=5+7n-7` or `7n-2`