Question

Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.

Enter your answer to 5 decimal places if necessary. Use a calculator.
A
-50, 35, -24.5,..;5th term
The 5th term of the sequence is 70

Answer 1

Explanation:

The first term here is -50 and the common ratio is 0.70. Note that the second term is 0.70(50) = 35.

The formula a(n) = a(0)*r^(n -1) becomes a(n) = -50*0.70^(n -1), and so

the 5th term is a(5) = -50*0.70^4 = -12.005