Question

Find the value of term a14 in the sequence.

6, 5, 4, 3, 2, . . .

Answer 1

`a_(14)=-7`

Explanation:

The given sequence is:

6, 5, 4, 3, 2, . . .

The first term of the sequence is:

`a_1=6`

The common difference is

d=5-6=-1

The nth term of the sequence:

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

`a_n=6-1(n-1)`

`a_n=6-n+1`

`a_n=7-n`

When n=14

`a_(14)=7-14=-7`