What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2?
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OpenStudy (sodapop):
\[a _{n}=5-2(n-1);all integers where n\[\ge 1\]
\[a _{n}=5-2(n-1); all integers where n\[\ge 0\]
\[a _{n}=5-3(n-1); all integers where n\[\ge 1\]
\[a _{n}=5-3(n-1); all integers where n\[\ge 0\]
OpenStudy (sodapop):
@Hero
OpenStudy (jim766):
an = a1 + (n-1)d , a1 is the 1st term, d is the common difference .
substitute in
OpenStudy (sodapop):
So the answer would be A ? @Jim766
OpenStudy (jim766):
the difference between the first term (5) and the 2nd (2) is negative 3
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OpenStudy (jim766):
an = 5 + (n-1)(-3)
OpenStudy (jim766):
all they do then is move the neg 3 to the other side of the parenthese
OpenStudy (jim766):
an = 5 -3(n -1)
OpenStudy (sodapop):
Right, so how do we get the other part of the answer?
OpenStudy (jim766):
n is the number of the term you need to find...
it is not possible to have a zeroth term
x >= 1
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