Find the first five terms of the geometric sequence.? $$a _ { 1 } = 4 , r = 2 x$$ ?
A) $4,2 x , 2 x ^ { 2 } , 2 x ^ { 3 } , 2 x ^ { 4 }$
B) $4,8 x , 16 x ^ { 2 } , 32 x ^ { 3 } , 64 x ^ { 4 }$
C) $4,2 x ^ { 2 } , 2 x ^ { 3 } , 2 x ^ { 4 } , 2 x ^ { 5 }$
D) $4,8 x ^ { 2 } , 16 x ^ { 3 } , 32 x ^ { 4 } , 64 x ^ { 5 }$
E) $4 , x ^ { 2 } , x ^ { 3 } , x ^ { 4 } , x ^ { 5 }$

Question

Quizplus · Accepted Answer

The first term is given as $4$, and the common ratio is $2x$. To find the subsequent terms, multiply the previous term by $2x$. Thus, the sequence is $4, 4(2x) = 8x, 8x(2x) = 16x^2, 16x^2(2x) = 32x^3, 32x^3(2x) = 64x^4$.

Find the First Five Terms of the Geometric Sequence a1=4,r=2xa _ { 1 } = 4 , r = 2 xa1​=4,r=2x

Find the First Five Terms of the Geometric Sequence $a _ { 1 } = 4 , r = 2 x$