Find the next two terms of the following sequences 2,6,10,14

Answer 1

6 - 2 = 4

10 - 6 = 4

14 - 10 = 4

That is arithmetic progression.

First term:

a = 2

Common difference:

d = 4

In AP:

an = a + ( n - 1 ) d

In this case:

a5 = a + 4 d

a5 = 2 + 4 • 4 = 2 + 16 = 18

a6 = a + 5 d

a6= 2 + 5 • 4 = 22

Or.

In AP, the difference between two consecutive terms is equal, so the next term is equal to the sum of the previous term and the common difference.

The next two terms:

14 + 4 = 18

18 + 4 = 22