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