Use 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, a1, and common ratio, r.
-Find a8 when a1 = 20,000, r = -0.1.
A) -0.002
B) 0.002
C) 0.0002
D) -0.02

Question

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is given by $ a_n = a_1 \cdot r^{(n-1)} $. For this problem, $ a_1 = 20,000 $, $ r = -0.1 $, and $ n = 8 $. Plugging these values into the formula gives $ a_8 = 20,000 \cdot (-0.1)^{7} = 20,000 \cdot (-0.0000001) = -0.002 $.

Use the Formula for the General Term (The Nth Term)