SOLUTION: what is the next term in this sequence ? 5, 34, 142, 322, ?

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Question 990846: what is the next term in this sequence ?
5, 34, 142, 322, ?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
what is the next term in this sequence ?
5, 34, 142, 322, ?
The general equation is

a%5Bn%5D=+%28-7x%5E3%2B279x%5E2-614x%2B372%29%2F6

a%5B1%5D=+%28-7%281%29%5E3%2B279%281%29%5E2-614%281%29%2B372%29%2F6=5
a%5B2%5D=+%28-7%282%29%5E3%2B279%282%29%5E2-614%282%29%2B372%29%2F6=34
a%5B3%5D=+%28-7%283%29%5E3%2B279%283%29%5E2-614%283%29%2B372%29%2F6=142
a%5B4%5D=+%28-7%284%29%5E3%2B279%284%29%5E2-614%284%29%2B372%29%2F6=322
a%5B5%5D=+%28-7%285%29%5E3%2B279%285%29%5E2-614%285%29%2B372%29%2F6=567

Edwin