Find a n and a 6 for the following arithmetic sequence.
-$$\mathrm { a } _ { 1 } = - 61 , \mathrm {~d} = - 5$$
A) $a _ { n } = - 61 + 5 n , a _ { 6 } = - 31$
B) $a _ { n } = - 61 - 5 n , a _ { 6 } = - 91$
C) $a _ { n } = - 61 + 5 ( n - 1 ) , a _ { 6 } = - 36$
D) $a _ { n } = - 61 - 5 ( n - 1 ) , a _ { 6 } = - 86$

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n-1)d$. Substituting $a_1 = -61$ and $d = -5$, we get $a_n = -61 - 5(n-1)$. For $n = 6$, $a_6 = -61 - 5(5) = -86$.

Find An and A6 for the Following Arithmetic Sequence a1=−61, d=−5\mathrm { a } _ { 1 } = - 61 , \mathrm {~d} = - 5a1​=−61, d=−5

Find A_n and A₆ for the Following Arithmetic Sequence $\mathrm { a } _ { 1 } = - 61 , \mathrm {~d} = - 5$