a1=3/2; an+1=(n^2+1)/n(an)
yeah so if anyone is feeling helpful today i need to finish this e2020 thing ive been doing it all sumnmer and its hard and its straight up ridiculous so help me please!!
what is the question?
oh find the first five terms og the given sequence
of*
\[a_1=\frac{3}{2}\] \[a_{n+1}=\frac{n^2+1}{na_n}\] like that?
yeah!
whoa hold on that was wrong!!
\[a_2\] here i am thinking that \(n+1=2\) and so \(n=1\) now replace \(n\) by 1 and get \[a_2=\frac{1^2+1}{1\times a_n}\] \[a_2=\frac{2}{1\times \frac{3}{2}}\] \[a_2=\frac{4}{3}\]
a3=10/3?
now we repeat the process for \(a_3=a_{2+1}\) that is , replace \(n\) by 2 to get \[a_3=\frac{2^2+1}{2\times a_2}\] \[a_3=\frac{5}{2\times \frac{4}{3}}\] \[a_3=\frac{15}{8}\]
thats not of the options tho
hmm maybe i made a mistake let me try again
okay :D
well i get the same thing again
shoot i dont even have a calculator :( i just guess all the time
for \(n+1=3\) we have \(n=2\) \[2\times \frac{4}{3}=\frac{8}{3}\] also \[2^2+1=5\] and \[\frac{5}{\frac{8}{3}}=\frac{15}{8}\]
what are the options?
i have repeated it 3 times starting at the beginning to see if i made an arithmetic error and i do not see one
its cool ill just move on
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