Question

Write an explicit formula for the sequence 1/2, 3/7, 1/3, 5/19, 3/14... then find a14+

Can anyone help me? Im so lost

Answer 1

@JamesJ @satellite73 @Campbell_st

Answer 2

I will give out a medal

Answer 3

This problem can have one solution like
\[
a_n=-\frac{n^4}{456}+\frac{4
n^3}{133}-\frac{439
n^2}{3192}+\frac{87
n}{532}+\frac{178}{399}

\]
I am sure whoever asked you this question does not expect this answer. But
this answer is correct

Answer 4

\[
a_{14}= -\frac{3450}{133}
\]

Answer 5

I am sure this problem has many solutions.

Answer 6

My choices are @eliassaab

an=an-1 - (n-1)/7n; 15/199
an= (an=1)/(n^2+3); 15/199
an= (n+1)/(n^2+3); 15/199
an= n/n^3-1; 15/199

Answer 7

The third choice

Answer 8

Try it for n=1, you find 1/2

Answer 9

Thank you so much!!!

Answer 10

YW

Answer 11

Did you try n=2,3,4,5 and 14

Answer 12

C