Mathematics
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OpenStudy (anonymous):
Find the nth term of 25,32,39 and 46
T(n)=a+(n-1)d
T(n)=a+(n-1)7
T(n)=25+(n-1)7
What is the next step?
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OpenStudy (zarkon):
there isn't a next step
OpenStudy (anonymous):
??
OpenStudy (zarkon):
the nth term is
\[a_n=25+(n-1)\cdot 7\]
OpenStudy (zarkon):
n=1,2,...
OpenStudy (anonymous):
what is the (n-1)
"n"
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OpenStudy (anonymous):
=,='''
OpenStudy (zarkon):
well you lost me there with your notation...are you unhappy that is have an n-1 and not n?
OpenStudy (anonymous):
i dont understand what n stands for
i mean
a stands for the first term
d stands for th common difference
what does n stand for?
OpenStudy (zarkon):
n is the term number
so if n=11
then \[a_{11}\] is the 11th term in the sequence
\[a_{11}=25+(11-1)\cdot 7=25+10\cdot 7=25+70=95\]
OpenStudy (anonymous):
how can u find the n?
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OpenStudy (zarkon):
n can be any positive integer
OpenStudy (zarkon):
there really isn't anything to find unless they were to ask something like this
for what value of n is \[a_n=95\]
the answer would be n=11
OpenStudy (anonymous):
T(n)=25+(n-1)7
so can the next step be
T(n)=25+(7n-7)
T(n)=25-7+7n
OpenStudy (zarkon):
sure...if you want
OpenStudy (zarkon):
25+(n-1)7 is a perfectly fine nth term though
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OpenStudy (anonymous):
so the next would be
T(n)=18+7n
T(n)=7n+18
OpenStudy (anonymous):
ok...but i need the most simplified one
OpenStudy (zarkon):
then that would be it
OpenStudy (zarkon):
7n+18
OpenStudy (anonymous):
thanks, and by the way, i have became a fan of yours to contact you more easily
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OpenStudy (zarkon):
np
OpenStudy (anonymous):
??
OpenStudy (anonymous):
what is np?
OpenStudy (zarkon):
no problem :)
OpenStudy (anonymous):
ok, when is the time you will be here
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OpenStudy (zarkon):
I don't know...I don't keep office hours ;)
OpenStudy (anonymous):
oic:)
OpenStudy (anonymous):
do u have a facebook of msn accont?
OpenStudy (zarkon):
this is really late for me...usually I'm not on at this hour
OpenStudy (zarkon):
no
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OpenStudy (anonymous):
ok thanks anyway
OpenStudy (anonymous):
:)
OpenStudy (zarkon):
np ;)
OpenStudy (anonymous):
88;)