Question

An arithmetic sequence has a common difference of 4 and the 3rd term is 10. What is the 6th term?

Answer 1

22

Explanation:

Given that,

Common difference, d = 4

3rd term,
`a_3=10`

nth term of an AP is given by :
`a_n=a+(n-1)d`, a is first term

For 3rd term,

`10=a+(3-1)4\\\\10=a+8\\\\a=2`

Now 6th term is given by :

`a_6=2+(6-1)4\\\\a_6=22`

Hence, the 6th term is 22.