Question

What is the next term in the arithmetic sequence shown?

-2, 2, 6, 10, ___

Answer 1

14

Explanation:

Let the first term be T¹

Let the second term be T²

Therefore T¹ = -2

T²= 2

The common difference d = T²–T¹

2–(-2)

= 4

You can also confirm this with the second and third terms.

The next term after 10 will be gotten by adding the common difference to 10

which is 10+4=14

OR

The next term is the 5th

T⁵= a + 4d

a= -2, d= 4

T⁵= -2 + 4{4}

T⁵= -2 + 16

T⁵= 14