Metal for help with a practice problem: What is the 4th term of the sequence?

a1 = 8 and an = 6 + an – 1

a4 = _________

Question

Metal for help with a practice problem: What is the 4th term of the sequence?

a1 = 8 and an = 6 + an – 1

a4 = _________

solomonzelman · Answer

$\Large\color{black}{  a_n=6+a_{(n-1)}    }$
so every time you add a 6 to previous term.

Therefore,    $\Large\color{black}{  a_n=8+6(n-1)    }$

solomonzelman · Answer

(knowing that difference is +6, and the first term is 8)

solomonzelman · Answer

plug in 4 for n, to find the forth term.

$\Large\color{black}{  a_{\color{red}{4}}=8+6(\color{red}{4}-1)    }$

solomonzelman · Answer

you should be able to take it from here.