SOLUTION: Good Morning, I would like some help in solving the following problem: Find the tenth term of the sequence 5, -25, 125, -625. Thank you in advance for your help. Denise

Question 131275: Good Morning, I would like some help in solving the following problem:
Find the tenth term of the sequence 5, -25, 125, -625. Thank you in advance for your help.
Denise
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If there were no minus signs in the sequence, it would
be ,,,, etc.
If is the number of the term of the sequence, then
= 5, 25, 125, 625, etc.
Now to account for the minus sign, how do I get
1, -1, 1, -1, 1, etc. ?
will do this, because
(1st term)
(2nd term)
(3rd term)
(4th term)
etc.
So, the sequence is
= 5, -25, 125, -625, etc.
What is the 10th term? It is

Since gets multiplied by itself an odd number of times,
(11 is odd), the answer will be negative
by my calculator
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