Question

How do you work out a sequence by having the nth term

Answer 1

see explanation

Explanation:

given
`a_(n)` = 8 - n

To calculate the first 3 terms substitute n = 1, 2, 3 into the formula

`a_(1)` = 8 - 1 = 7

`a_(2)` = 8 - 2 = 6

`a_(3)` = 8 - 3 = 5

the first 3 terms are 7, 6, 5

the first negative value will occur when n > 8, that is 9

`a_(9)` = 8 - 9 = - 1 ← first negative term