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Geometric sequence help pls

Geometric sequence help pls-example-1
User Lystra
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Answer:

-1220703125 is the 14th term of the geometric sequence.

Explanation:

The following geometric sequence has the common ratio of -5 as -5/1 = -5 and 25/-5 = -5.

Then apply in the geometric sequence formula which is:


\displaystyle{a_n = a_1r^(n-1)}

where
a_n represents the nth term,
a_1 is the 1st term and
r is the common ratio. Substitute in the known values:


\displaystyle{a_n = 1\left(-5\right)^(n-1)}\\\\\displaystyle{a_n = \left(-5\right)^(n-1)}

Since we want to find the 14th term of the sequence, substitute n = 14:


\displaystyle{a_(14)=\left(-5\right)^(14-1)}\\\\\displaystyle{a_(14)=\left(-5\right)^(13)}\\\\\displaystyle{a_(14)=-1220703125}

User Basketballnewbie
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