Posted by **Anonymous** on Tuesday, October 17, 2006 at 7:30pm.

A finite geometric sequence has t1= 0.1024 and t2= 0.256 how many terms does this sequence have if its middle temr has the value 156.25?

how would go about and do this question?

If t

_{1} = 0.1024 and t

_{2} = 0.256, then the common ratio is t

_{2}/t

_{1} = 2.5

The value at term n is given by .1024 * 2.5

^{n-1}, therefore solve

156.25 = .1024 * 2.5

^{n-1} to find the middle term.

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