Question

Find the next two geometric terms 3/20, 1/5, 4/15,

Answer 1

the answer is 1500

correct me if you want

Answer 2

a_5 = 1,500

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.