# What is the 12th term of a geometric sequence where #a_1 = 8# and #a_6 = -8,192#?

##### 1 Answer

Negative 33554432

#### Explanation:

Let K be a constant.

Let the geometric ratio be r.

Let

Then at

The fact that

.'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

To find r

Known:

To isolate r use

Thus

so

.''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

To find k by substitution into (1)

k=2

.''''''''''''''''''''''''''''''''''''''''''''''''

Thus:

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