Question

Find the 7th term in the sequence -10,-6,-2,2...

Answer 1

`a_(7)` = 14

This is an arithmetic sequence with n th term

`a_(n)` =
`a_(1)` + (n - 1)d

where d is the common difference and
`a_(1)` the fist term

d = 2 - (- 2) = - 2 - (- 6) = - 6 - (- 10) = 4 and
`a_(1)` = - 10, hence

`a_(7)` = - 10 + (6 × 4 ) = - 10 + 24 = 14

Answer 2

we are adding 4 each time

10+4 = -6

-6 + 4 = -2

-2+4 = 2

2+4 =6

6+4 = 10

10+4 = 14

14+ 4=18

The 7th term is 18