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satellite73 (satellite73):
find the first 4 terms
\[a_1=\frac{3}{2}; a_{n+1}=\frac{n^2+1}{n(a_n)}\]
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OpenStudy (anonymous):
i got my answer but apparently i was wrong
this from @lopez_hatesmath
OpenStudy (anonymous):
maybe some fresh eyes would help
OpenStudy (anonymous):
nvm sorry to bother you
OpenStudy (anonymous):
:(
OpenStudy (anonymous):
i got it
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OpenStudy (anonymous):
swagg
OpenStudy (anonymous):
it was this
\[a_1=\frac{3}{2}; a_{n+1}=\frac{n^2+1}{n}\times a_n\]
OpenStudy (anonymous):
that is, the \(a_n\) was in the NUMERATOR
OpenStudy (anonymous):
so now it is not so bad
replace \(n=1\) on the right hand side to get \(a_2\)
OpenStudy (anonymous):
you get
\[a_2=\frac{1^2+1}{1}\times \frac{3}{2}\]
\[a_2=2\times\frac{3}{2}\]
\[a_2=3\]
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OpenStudy (anonymous):
now replace \(n\) by 2 on the right hand side to get
\[a_3=\frac{2^2+1}{2}\times 3\]
\[a_3=\frac{5}{2}\times 3\]
\[a_3=\frac{15}{2}\]
OpenStudy (anonymous):
how are we doing so far?
OpenStudy (anonymous):
good :)
OpenStudy (anonymous):
one more?
\[a_4=\frac{3^2+1}{3}\times \frac{15}{2}\]
\[a_4=\frac{10}{3}\times \frac{15}{2}\]
\[a_4=25\]
OpenStudy (anonymous):
okayy i got it!
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OpenStudy (anonymous):
not so bad
that is the idea, i thought the term was in the denominator which is why i was screwing it up
OpenStudy (anonymous):
gotcha thanks for the help man.
OpenStudy (anonymous):
yw
good luck with the next one, but it works the same so you should be good to go
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