What is the nth term rule for 9 16 23 30?

Answer 1

9 ,16 ,23, 30

We note that there is a difference of '7' between terms.

So the first part of the 'nth' term is 7n.

Note the '7' becomes multiple.

Next we need to find the constant 'c'

So taking the first term (n = 1) we write.

7n + c = 9

7(1) + c = 9

7 + c = 9

c = 2

So the 'nth' term is '7n + 2'

To verify , try the 3rd term n= 3 then answer should be '23'.

7(3) + 2 =

21 + 2 = 23 As required.