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 a 8 when $a _ { 1 } = 20,000 , r = - 0.1$.
A) $- 0.002$
B) $0.0002$
C) $0.002$
D) $- 0.02$ Write a formula for the general term (the nth term)of the geometric sequence.

Question

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is:$$a_n = a_1 * r^(n-1)$$where:* $a_n$ is the nth term* $a_1$ is the first term* r is the common ratio* n is the term numberIn this case, we are given that $a_1 = 20,000$ and $r = -0.1$. We want to find $a_8$, which is the 8th term.Substituting these values into the formula, we get:$$a_8 = 20,000 * (-0.1)^(8-1)$$$$a_8 = 20,000 * (-0.1)^7$$$$a_8 = 20,000 * (-0.0000001)$$$$a_8 = -0.002$$Therefore, the answer is A) $-0.002$.

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 $\mathbf { a } _ { 1 }$