Question

Find the nth term of this number sequence.
1,7,13,19...

Answer 1

Explanation:

a=1

c.d. d=13-7=6

`a_(n) =a_(1)+(n-1)d\\a_(n)=1+(n-1)6\\a_(n)=1+6n-6\\a_(n)=6n-5`

Answer 2

This sequence is arithmetic, and the next term is 25

Explanation:

The common difference of the sequence is 6, so the next term is 19+6=25.

The difference between the consecutive terms is constant => sequence is arithmetic.

7-1=6

13-7=6

19-13=6