Question

Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = –6n + 2

Answer 1

The given sequence is:

`a_n=-6n+2`

To find the first 4 terms, we need to replace n=1,2,3,4 and solve for an, as follows:

`\begin{gathered} n=1 \\ a_1=-6*1+2=-6+2=-4 \\ \\ n=2 \\ a_2=-6*2+2=-12+2=-10 \\ \\ n=3 \\ a_3=-6*3+2=-18+2=-16 \\ \\ n=4 \\ a_4=-6*4+2=-24+2=-22 \end{gathered}`

The first four terms of the sequence are: -4 , -10 , -16 , -22