# How do I find the sixth term of a geometric sequence for which #t_5 = 24# and #t_8 = 3#?

##### 1 Answer

I have shown how to arrive at the needed information but left some of the working out for you to do.

#### Explanation:

Let k be a constant

Let the ratio be

giving:

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To find

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To find k

Substitute for r in equation ( 1 ) giving

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We can now answer the question:

By the way:

So