Question

Find the common ratio r for the geometric sequence and use r to find the next three terms. Enter your answer to four decimal places if necessary. 100, -40, 16, -6.4, The Common Ratio The next three terms are

Answer 1

Answer: The next three terms =2.56, - 1.024 and 0.4096

Explanation:

Common Ratio of a Geometric sequence, R is calculated as

=a2/a1 = -40/100=-0.4

or a3/a2=16/ -40 = -0.4

such that the next three terms are

5th term = -6.4 x -0.4=2.56

6th term= 2.56 x -0.4 =-1.024

7TH term= -1.024 x -0.4=0.4096