Find a formula for the n th term of the arithmetic sequence. $a _ { 1 } = 75 , d = - 8$
A) $a _ { n } = - 8 n - 83$
B) $a _ { n } = - 8 n + 83$
C) $a _ { n } = 8 n + 75$
D) $a _ { n } = - 8 n + 67$
E) $a _ { n } = - 8 n + 75$

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n-1)d$. Substituting $a_1 = 75$ and $d = -8$, we get $a_n = 75 + (n-1)(-8) = 75 - 8n + 8 = -8n + 83$.

Find a Formula for the N Th Term of the Arithmetic