Question

For the sequence -4,1,6... determine the nth term

Answer 1

Explanation:

this the arithmetic sequence when the common dif is : 6-1 = 1-(-4) =5 and the first term is -4

the nth term is An = A1 +(n-1)d

A1 = -4 and d = 5

so : An = -4 +(n-1)5 = -4 +5n -5

An = 5n - 9

Answer 2

nth term = 5n - 9

Explanation:

This is an arithmetic progression. Its formula is:

`a_n = a_1 + (n - 1).r`

In this case, a1 is - 4 and the rate is:

1 - (- 4) = 5

Then, r = 5.

Changing It:

`a_n = - 4 + (n - 1).5 \\\ a_n = - 4 + 5n - 5 \\\ a_n = 5n - 9`

an = nth term

I hope I've helped you.