Use the Formula for the General Term of a Geometric Sequence
-Find $a _ { 6 }$ when $a _ { 1 } = 6 , r = 4$.
A) 6144
B) 24,576
C) 1024
D) 120

Name: Use the Formula for the General Term of a Geometric Sequence -Find $a _ { 6 }$ when $a _ { 1 } = 6 , r = 4$. A) 6144 B) 24,576 C) 1024 D) 120
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Question

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{(n-1)}$. For $a_6$, plug in $a_1 = 6$, $r = 4$, and $n = 6$: $a_6 = 6 \cdot 4^{(6-1)} = 6 \cdot 4^5 = 6 \cdot 1024 = 6144$.

Use the Formula for the General Term of a Geometric a6a _ { 6 }a6​

Use the Formula for the General Term of a Geometric $a _ { 6 }$