Question

Write the nth term of the following sequence in terms of the first term of the sequence.1, 8, 15, 22,...

Answer 1

1+7(n-1)

Explanation:

Late but I got it correct on Odyssey. Hope this helps :)

Answer 2

We are given the following sequence:

`1,8,15,22`

we notice that each term is obtained by adding 7 to the previous, like this;

`\begin{gathered} a_1=1 \\ a_2=7+1=8 \\ a_3=7+7+1=7(2)+1=15 \\ a_4=7+7+7+1=7(3)+1=22 \end{gathered}`

Therefore, if a1 is the first term, a formula for the nth term is:

`a_n=7(n-1)+a_1`
`a_n=7(n-1)+1`