Mathematics
10 Online
OpenStudy (anonymous):
Find S15 for the series -1 + -3 + -5 + -7 +...Type the numeric answer only.
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OpenStudy (anonymous):
will give medal!
OpenStudy (austinl):
-1-3-5-7-9-11-13-15-17-19-21-23-25-27-29-31=S15
OpenStudy (anonymous):
thanks!
Find the 6th term of the sequence in which t1 = -5 and tn = -5tn-1?
OpenStudy (anonymous):
please help!!!
OpenStudy (austinl):
n=6
\[t_{1}=-5\]
\[t_{n}=-5t_{n}-1\]
Is this correct?
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OpenStudy (anonymous):
im not sure??? i dont know how to do this
OpenStudy (amistre64):
no, they give the recurrsion, not the explicit
OpenStudy (amistre64):
\[t_{n}=-5t_{n-1}\]
OpenStudy (austinl):
Ok, that makes much more sense. I wish that people would use proper format.
OpenStudy (amistre64):
it would help yes :)
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OpenStudy (austinl):
Ok, so we are given
\[t_{1}=5\]
\[t_{2}=-5\times t_{1}\]
OpenStudy (anonymous):
okay....
OpenStudy (anonymous):
so -5 times 5?
OpenStudy (austinl):
Right! And that is....?
OpenStudy (anonymous):
-25
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OpenStudy (austinl):
Correct, so
\[t_{2}=-25\]
\[t_{3}=-5\times t_{2}\]
\[t_{4}=-5\times t_{3}\]
\[t_{5}=-5\times t_{4}\]
\[t_{6}=-5\times t_{5}\]
OpenStudy (anonymous):
so the ansswer would be -15,625?
OpenStudy (austinl):
That is the answer that I arrived to!
OpenStudy (anonymous):
okay are you willing to help me get started on one more? (:
OpenStudy (austinl):
Sure, post up a new question so that others will be more likely to see it!
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OpenStudy (anonymous):
okay!