Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are
given.
-$$\begin{array} { l l }
a = - 2 ; & d = 3 \
a _ { n } = ? ; & a 7 = ?
\end{array}$$
A) $a _ { n } = - 5 + 3 n ; a 7 = 16$
B) $a _ { n } = - 5 + 3 n ; a 7 = 40$
C) $a _ { n } = - 2 + 3 n ; a 7 = 16$
D) $a _ { n } = - 5 - 3 n ; a 7 = 16$

Question

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are
given.
-$$\begin{array} { l l } 
a = - 2 ; & d = 3 \
a _ { n } = ? ; & a 7 = ?
\end{array}$$
A) $a _ { n } = - 5 + 3 n ; a 7 = 16$
B) $a _ { n } = - 5 + 3 n ; a 7 = 40$
C) $a _ { n } = - 2 + 3 n ; a 7 = 16$
D) $a _ { n } = - 5 - 3 n ; a 7 = 16$

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a _ { n } = a + ( n - 1 ) d$, where a is the initial term, d is the common difference, and n is the term number. Substituting the given values into the formula, we get $a _ { n } = - 2 + ( n - 1 ) 3 = - 2 + 3 n - 3 = - 5 + 3 n$. To find the 7th term, we substitute n = 7 into the formula, which gives $a 7 = - 5 + 3 ( 7 ) = - 5 + 21 = 16$.

Find the Nth Term and the Indicated Term of the Arithmetic