Mathematics
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OpenStudy (anonymous):
Find an explicit rule for the nth term of the sequence.
7, -7, 7, -7,
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OpenStudy (anonymous):
@amistre64 @thomaster @UnkleRhaukus
OpenStudy (unklerhaukus):
what formula for n will make odd terms positive,
and even terms negative?
1, -1, 1, -1, ...
OpenStudy (anonymous):
-1,-1
OpenStudy (unklerhaukus):
(-1)^?
OpenStudy (anonymous):
(-1)^2
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OpenStudy (unklerhaukus):
it needs to be a function of n
OpenStudy (anonymous):
an = 7 • (-1)n
OpenStudy (anonymous):
(-1)^n i ment it to say
OpenStudy (unklerhaukus):
n = 1, 2 , 3, 4, ...
a(n) = 7, -7, 7, -7, ...
OpenStudy (anonymous):
an = 7 • 1^n - 1
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OpenStudy (unklerhaukus):
n = 1, 2, 3, ...
(-1)^n = (-1)^1, (-1)^2, (-1)^3 ...
= -1, 1, -1, ...
OpenStudy (anonymous):
so would it be an = 7 • (-1)^n - 1
OpenStudy (unklerhaukus):
n = 1, 2, 3, ...
a_n= 7 • (-1)^(n-1) = 7 • (-1)^(1-1), 7 • (-1)^(2-1), 7 • (-1)^(3-1) ....
= 7, -7 , 7 ....
OpenStudy (anonymous):
so...an = 7 • 1^n + 1
OpenStudy (anonymous):
my bad scratch that last post
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OpenStudy (anonymous):
tnhx though you was very helpful