Question

What is the 33rd term of this arithmetic sequence 12, 7, 2, -3, -8, …?

Answer 1

`T_33 = -148`

Explanation:

The general term for any AP is given by `T_n = a + (n-1)d`

We can get all the information we need from the given terms:

`a = 12`
`d = -5" the values are decreasing and the terms differ by 5"`
`n = 33 " we are asked for the 33rd term, " T_33`

`T_33 = 12 + (32)xx(-5)`

`T_33 = -148`