Question

Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio. Enter your answer to 7 decimal places if necessary. Use a calculator. 12, −2.4, 0.48, ...; 7th term The 7th term of the sequence is

Answer 1

The 7th term of the sequence is 0.000768

Explanation:

As given, the sequence is : 12, -2.4 , 0.48, ....

The first term = 12

Second term = -2.4

Third term = 0.48

Common ratio =
`(-2.4)/(12) = (0.48)/(-2.4) = -0.2`

Fourth term = 0.48(-0.2) = -0.096

Fifth term = -0.096(-0.2) = 0.0192

Sixth term = 0.0192(-0.2) = -0.00384

Seventh term = -0.00384(-0.2) = 0.000768