Write the first five terms of the arithmetic sequence. $$a _ { 1 } = 2 , d = \frac { 2 } { 3 }$$
A) $\frac { 8 } { 3 } , \frac { 10 } { 3 } , 4 , \frac { 14 } { 3 } , \frac { 16 } { 3 }$
B) $\frac { 4 } { 3 } , \frac { 8 } { 9 } , \frac { 16 } { 27 } , \frac { 32 } { 81 } , \frac { 64 } { 243 }$
C) $2 , \frac { 4 } { 3 } , \frac { 8 } { 9 } , \frac { 16 } { 27 } , \frac { 32 } { 81 }$
D) $2 , \frac { 8 } { 3 } , \frac { 10 } { 3 } , 4 , \frac { 14 } { 3 }$

Question

Quizplus · Accepted Answer

The first term is given as $2$, and the common difference $d$ is $\frac{2}{3}$. To find the next terms, we add the common difference to the previous term: $2 + \frac{2}{3} = \frac{8}{3}$, $\frac{8}{3} + \frac{2}{3} = \frac{10}{3}$, $\frac{10}{3} + \frac{2}{3} = 4$, $4 + \frac{2}{3} = \frac{14}{3}$. This matches option D.

Write the First Five Terms of the Arithmetic Sequence a1=2,d=23a _ { 1 } = 2 , d = \frac { 2 } { 3 }a1​=2,d=32​

Write the First Five Terms of the Arithmetic Sequence $a _ { 1 } = 2 , d = \frac { 2 } { 3 }$