Question

What is the next term of the arithmetic sequence? -2,-4,-6

Answer 1

- 8

Explanation:

The common difference d between consecutive terms is

d =
`a_(2)` -
`a_(1)`, that is

d = - 4 - (- 2) = - 4 + 2 = - 2

To obtain the next term subtract - 2 from - 6

next term = - 6 - 2 = - 8

Answer 2

next term of the arithmetic sequence -2,-4,-6 is -8

Explanation:

The next term in an arithmetic sequence is last term + common difference.

It is given an arithmetic sequence,

-2, -4, -6,...

To find the next term

Here common difference d = -4 - - 2 = -4 + 2 = -2

Next term = last term + common difference = -6 + - 2 = -8

Therefore the next term in the given sequence is -8