Write Terms of a Geometric Sequence
-$$a _ { 1 } = 2 ; r = \frac { 1 } { 3 }$$
A) $2 , \frac { 2 } { 3 } , \frac { 2 } { 9 } , \frac { 2 } { 27 } , \frac { 2 } { 81 }$
B) $2,6,18,54,162$
C) $\frac { 2 } { 3 } , \frac { 2 } { 9 } , \frac { 2 } { 27 } , \frac { 2 } { 81 } , \frac { 2 } { 243 }$
D) $2 , \frac { 7 } { 3 } , \frac { 8 } { 3 } , 3 , \frac { 10 } { 3 }$

Question

Quizplus · Accepted Answer

The terms of a geometric sequence are found by starting with the first term and repeatedly multiplying by the common ratio. Here, $a_1 = 2$ and $r = \frac{1}{3}$, so each term is $\frac{1}{3}$ of the previous term, which matches option A.

Write Terms of a Geometric Sequence - a1=2;r=13a _ { 1 } = 2 ; r = \frac { 1 } { 3 }a1​=2;r=31​

Write Terms of a Geometric Sequence
- $a _ { 1 } = 2 ; r = \frac { 1 } { 3 }$