SOLUTION: For each sequence, find a closed formula for the general term, a sub n. 1. 53,477,4293,38637,347733,... a sub n = 2. 2,5,10,17,26,...a sub n = 3. -2,-8,-18,-32,-50,...a sub n

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Question 933241: For each sequence, find a closed formula for the general term, a sub n.
1. 53,477,4293,38637,347733,... a sub n =
2. 2,5,10,17,26,...a sub n =
3. -2,-8,-18,-32,-50,...a sub n =
Help would truly be appreciated!
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
53,477,4293,38637,347733
Take to the 4th differences to get them all the same
Assume a 4th degree polynomial

Substitute n=1,2,3,4,5 and solve the resulting 5x5 system
of equations:

-----------------------------
2,5,10,17,26,
Easy. That's 1 more than the sequence of squares 1,4,9,16.25

---------------------------------
-2,-8,-18,-32,-50
Easy. That's -2 times the sequence of squares 1,4,9,16.25

Edwin
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