SOLUTION: Starting with n=1, find the first 5 terms of: {{{ an=(7n!)/(n+2) }}}. Please explain the steps the best that you can. Thanks. :)

Algebra ->  Sequences-and-series -> SOLUTION: Starting with n=1, find the first 5 terms of: {{{ an=(7n!)/(n+2) }}}. Please explain the steps the best that you can. Thanks. :)       Log On


   

Question 750549: Starting with n=1, find the first 5 terms of: +an=%287n%21%29%2F%28n%2B2%29+.
Please explain the steps the best that you can. Thanks. :)


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

find the first 5 terms of:
+an=%287n%21%29%2F%28n%2B2%29+......if n=1

+a%5B1%5D=%287%2A1%29%2F%281%2B2%29+

+a%5B1%5D=7%2F3+.....first term

+a%5Bn%5D=%287n%21%29%2F%28n%2B2%29+......if n=2

+a%5B2%5D=%287%2A2%2A1%29%2F%282%2B2%29+

+a%5B2%5D=14%2F4+

+a%5B2%5D=7%2F2+.....second term


+a%5Bn%5D=%287n%21%29%2F%28n%2B2%29+......if n=3

+a%5B3%5D=%287%2A3%2A2%2A1%29%2F%283%2B2%29+

+a%5B3%5D=42%2F5+.....third term


+a%5Bn%5D=%287n%21%29%2F%28n%2B2%29+......if n=4

+a%5B4%5D=%287%2A4%2A3%2A2%2A1%29%2F%284%2B2%29+

+a%5B4%5D=168%2F6+

+a%5B4%5D=28+.....fourth term


+a%5Bn%5D=%287n%21%29%2F%28n%2B2%29+......if n=5

+a%5B5%5D=%287%2A5%2A4%2A3%2A2%2A1%29%2F%285%2B2%29+

+a%5B5%5D=840%2F7+

+a%5B5%5D=120+.....fifth term


{..7%2F3+,7%2F2+,42%2F5+,28+,120+..}