Question

Find the 45th term of the arithmetic sequence has the first term = -3 and d = 2.

Answer 1

45th term is 85

Explanation:

We use the definition of the nth term of an arithmetic sequence:

`a_n=a_1+(n-1)\,d`

which for our case gives:

`a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85`