Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for $$\mathbf { a } _ { \mathbf { n } }$$ to find $$a _ { 20 }$$ , the 20th term of the sequence.
-$$\mathrm { a } _ { 1 } = 8 , \mathrm {~d} = 0.6$$
A) $\mathrm { a } _ { \mathrm { n } } = 0.6 \mathrm { n } + 7.4 ; \mathrm { a } _ { 20 } = 19.4$
B) $a _ { n } = 0.6 n + 8 ; a _ { 20 } = 20$
C) $a _ { n } = 8 n - 7.4 ; a _ { 20 } = 152.6$
D) $a _ { n } = 8 n + 0.6 ; a _ { 20 } = 160.6$

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n - 1)d$. Substituting $a_1 = 8$ and $d = 0.6$ gives $a_n = 8 + (n - 1)0.6 = 0.6n + 7.4$. For $a_{20}$, substituting $n = 20$ into the formula yields $a_{20} = 0.6(20) + 7.4 = 19.4$.

Write a Formula for the General Term (The Nth Term) an\mathbf { a } _ { \mathbf { n } }an​

Write a Formula for the General Term (The Nth Term) $\mathbf { a } _ { \mathbf { n } }$