Question

What is the sum of a 34-term arithmetic sequence where the first term is 14 and the last term is 146?

Answer 1

`=color(blue)(2720`

Explanation:

The formula for sum of an Arithmetic Sequence when the first term `a_1`, number of terms `n` and last term `a_n` are given is:

`color(blue)(Sum = (n/2)(a_1+a_n)`

Here: `a_1 =14, a_n=146, n=34`

`= 34/2 (14+146)`

`= 17xx 160`

`=color(blue)(2720`