Find the indicated term of the arithmetic sequence.
-$\frac { 5 } { 9 } , \frac { 2 } { 3 } , \frac { 7 } { 9 } , \ldots ; a _ { 16 }$
A) $\frac { 20 } { 9 }$
B) $\frac { 19 } { 9 }$
C) $\frac { 17 } { 9 }$
D) 2

Question

Quizplus · Accepted Answer

The common difference $d$ is $\frac{2}{3} - \frac{5}{9} = \frac{1}{9}$. The $n$-th term formula is $a_n = a_1 + (n-1)d$. For $a_{16}$, $a_{16} = \frac{5}{9} + 15 \times \frac{1}{9} = \frac{20}{9}$.

Find the Indicated Term of the Arithmetic Sequence 59,23,79,…;a16\frac { 5 } { 9 } , \frac { 2 } { 3 } , \frac { 7 } { 9 } , \ldots ; a _ { 16 }95​,32​,97​,…;a16​

Find the Indicated Term of the Arithmetic Sequence $\frac { 5 } { 9 } , \frac { 2 } { 3 } , \frac { 7 } { 9 } , \ldots ; a _ { 16 }$