Answer:
a_5 = 1,500
Step-by-step explanation:
1. Determine the given of the problem.
a_n – unknown sequence
a_1 – 3/20
r – ((3⁄2)/(3⁄20)) = 10
n – 5
2. Substitute the given to the formula of the geometric sequence.
a_n = a_1 r^(n-1)
a_5 = (3/20) (10)^(5-1)
3. Solve the given problem.
a_5 = (3/20) (10)^(5-1) - Subtract the exponent.
a_5 = (3/20) (10)^(4) - Multiply 1/10 to the exponent.
a_5 = (3/20)(10000) - Multiply it.
a_5 = (30000/20) - Divide it.
a_5 = 1,500 - Answer of the problem.
