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OpenStudy (anonymous):
the sequence:5,25,125,625
what is the 7th term of the sequence.
what algebric expression represents the nth term
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OpenStudy (anonymous):
the 7th term is 78125
OpenStudy (anonymous):
@sweetsunray
OpenStudy (anonymous):
\[5 \times 5^6\]
OpenStudy (anonymous):
Well, what pattern did you use to find the 7th term?
Replace 7 with n to find an algebraic representation of the nth term.
OpenStudy (anonymous):
i multply by 5
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OpenStudy (anonymous):
this is a geometric sequence @NinjaDevo
OpenStudy (anonymous):
a1 * 5^(7-1)
OpenStudy (anonymous):
That's what I was getting at...just replace the 7 with a n....
OpenStudy (anonymous):
@NinjaDevo when i solve that eqaution with a1 * 5^(7-1) it doesnt give me 78125 which is the 7th term
OpenStudy (anonymous):
@math&ing001
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OpenStudy (anonymous):
@phi
OpenStudy (math&ing001):
@Pandabear78963 your answer is correct.
OpenStudy (anonymous):
i know but what will the equation be to represent the nth term @math&ing001
OpenStudy (phi):
5,25,125,625 is
5^1, 5^2, 5^3, 5^4
it looks like 5^n where n is the term number
5^7 is the answer. we should use a calculator
OpenStudy (anonymous):
78125
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OpenStudy (math&ing001):
As @phi said 5^n.
OpenStudy (phi):
***when i solve that eqaution with a1 * 5^(7-1) ****
it should: 5* 5^6 = 5^7
OpenStudy (anonymous):
thsnks @phi @math&ing001
OpenStudy (math&ing001):
Welcome !
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