Determine the first five terms of the geometric sequence.
-$a _ { 1 } = 4 , r = \frac { 1 } { 3 }$
A) $4 , \frac { 4 } { 3 } , \frac { 4 } { 9 } , \frac { 4 } { 27 } , \frac { 4 } { 81 }$
B) $4 , \frac { 13 } { 3 } , \frac { 14 } { 3 } , 5 , \frac { 16 } { 3 }$
C) $4,12,36,108,324$
D) $\frac { 4 } { 3 } , \frac { 4 } { 9 } , \frac { 4 } { 27 } , \frac { 4 } { 81 } , \frac { 4 } { 243 }$

Question

Quizplus · Accepted Answer

The terms of a geometric sequence are found by multiplying the previous term by the common ratio $r$. Starting with $a_1 = 4$ and $r = \frac{1}{3}$, the sequence is $4, 4 \times \frac{1}{3}, 4 \times (\frac{1}{3})^2, 4 \times (\frac{1}{3})^3, 4 \times (\frac{1}{3})^4$, which simplifies to $4, \frac{4}{3}, \frac{4}{9}, \frac{4}{27}, \frac{4}{81}$.

Determine the First Five Terms of the Geometric Sequence a1=4,r=13a _ { 1 } = 4 , r = \frac { 1 } { 3 }a1​=4,r=31​

Determine the First Five Terms of the Geometric Sequence $a _ { 1 } = 4 , r = \frac { 1 } { 3 }$