Robert J. answered • 11/17/12

Certified High School AP Calculus and Physics Teacher

The third term in the sequence: a_{3} =(-1)^{3+1}5^{3+1} = 5^{4} = 625, if n starts from 1.

Grace A.

asked • 11/17/12find the 3rd term in the sequence: a_{n} =(-1)^{n+1}5^{n+1}

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Robert J. answered • 11/17/12

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Certified High School AP Calculus and Physics Teacher

The third term in the sequence: a_{3} =(-1)^{3+1}5^{3+1} = 5^{4} = 625, if n starts from 1.

Kathye P. answered • 11/17/12

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Math Geek, passionate about teaching

Hi, Grace.

a_{n} =(-1)^{n+1}5^{n+1} is the general term of a sequence. To find any specific term, replace n with the number of the term.

To find the 3rd term in the sequence, replace n with 3:

a_{3} = (-1)^{4}5^{4}

= (1)(625)

= **625**

Hope this helps!

Roman C. answered • 11/17/12

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Masters of Education Graduate with Mathematics Expertise

It's like with your other problem. This time plug in n=3.

a_{3} = (-1)^{3+1}5^{3+1} = (-1)^{4}5^{4} = 1*625 = 625

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