SOLUTION: The sequence is defined recursively. Write the first five terms. {{{a[1]=-3}}}; {{{a[n]=a[n-1]*n^2}}}

Algebra ->  Sequences-and-series -> SOLUTION: The sequence is defined recursively. Write the first five terms. {{{a[1]=-3}}}; {{{a[n]=a[n-1]*n^2}}}      Log On


   



Question 1059602: The sequence is defined recursively. Write the first five terms.
a%5B1%5D=-3; a%5Bn%5D=a%5Bn-1%5D%2An%5E2

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
a%5B1%5D=-3; a%5Bn%5D=a%5Bn-1%5D%2An%5E2
Substitute n=2:
a%5Bn%5D%22%22=%22%22a%5Bn-1%5D%2An%5E2
a%5B2%5D=a%5B2-1%5D%2A2%5E2
a%5B2%5D=a%5B1%5D%2A4
a%5B2%5D=%28-3%29%2A4
a%5B2%5D=-12
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Substitute n=3:
a%5Bn%5D%22%22=%22%22a%5Bn-1%5D%2An%5E2
a%5B3%5D=a%5B3-1%5D%2A3%5E2
a%5B3%5D=a%5B2%5D%2A9
a%5B3%5D=%28-12%29%2A9
a%5B3%5D=-108
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Substitute n=4:
a%5Bn%5D%22%22=%22%22a%5Bn-1%5D%2An%5E2
a%5B4%5D=a%5B4-1%5D%2A4%5E2
a%5B4%5D=a%5B3%5D%2A16
a%5B4%5D=%28-108%29%2A16
a%5B4%5D=-1728
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Substitute n=5:
a%5Bn%5D%22%22=%22%22a%5Bn-1%5D%2An%5E2
a%5B5%5D=a%5B5-1%5D%2A5%5E2
a%5B5%5D=a%5B4%5D%2A25
a%5B5%5D=%28-1728%29%2A25
a%5B5%5D=-43200
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Edwin