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OpenStudy (anonymous):
HELP! :(
The 50th term of an arithmetic sequence is 86, and the common difference is 2.
Find the first three terms of the sequence
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OpenStudy (anonymous):
\[t _{n}=a+(n-1)d,86=a+(50-1)*2,a=?\]
this is first term
next two terms are a+2,a+2+2
OpenStudy (anonymous):
Thank you! :)
OpenStudy (refrac532):
This is an arithmetic sequence involving only whole numbers...how did you get a decimal?
OpenStudy (refrac532):
You might be thinking about a geometric sequence.
OpenStudy (refrac532):
Think about it this way:
If 86 is the 50th term, and 2 is the common difference,
then what would the 49th term be?
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OpenStudy (refrac532):
Remember: arithmetic sequence. It only adding or subtracting to get to the next term.
OpenStudy (refrac532):
it only requires*
OpenStudy (refrac532):
Close! But you're just a little bit off.
OpenStudy (refrac532):
Try this:
\[a _{n} - n(d)\]
where \[a _{n}\]
is the nth term, n is the term (50), and d is the common difference.
OpenStudy (anonymous):
-14!?
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OpenStudy (refrac532):
Correct!
OpenStudy (refrac532):
Oh my god I am so sorry it is -12
OpenStudy (refrac532):
I miscalculated xD
OpenStudy (refrac532):
SORRY
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