Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term)of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
-Find a8 when $a _ { 1 } = 3000 , r = \frac { 1 } { 3 }$.
A) $\frac { 1000 } { 729 }$
B) $\frac { 1000 } { 2187 }$
C) $\frac { 1000 } { 6561 }$
D) $\frac { 9007 } { 3 }$

Question

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is:$$a_n = a_1 * r^(n-1)$$where $a_1$ is the first term, r is the common ratio, and n is the term number.In this case, $a_1 = 3000$, r = 1/3, and we want to find $a_8$. So, we plug these values into the formula:$$a_8 = 3000 * (1/3)^(8-1)$$$$a_8 = 3000 * (1/3)^7$$$$a_8 = 3000 * 1/2187$$$$a_8 = 1000/729$$Therefore, the answer is A) $\frac { 1000 } { 729 }$.

Use the Formula for the General Term of a Geometric a1\mathbf { a } _ { 1 }a1​

Use the Formula for the General Term of a Geometric $\mathbf { a } _ { 1 }$