SOLUTION: Construct a difference table to predict the next term of the sequence.
−1, 3, 22, 61, 125, 219, 348, . . .
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-> SOLUTION: Construct a difference table to predict the next term of the sequence.
−1, 3, 22, 61, 125, 219, 348, . . .
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Question 1163967: Construct a difference table to predict the next term of the sequence.
−1, 3, 22, 61, 125, 219, 348, . . . Found 2 solutions by Boreal, greenestamps:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! from -1 to 3 is 4
to 22 is 19. the difference between 4 and 19 is 15.
then 39. next difference is 20. difference between 15 and 20 is 5. And all the others have difference 5
then 64. next difference is 25
then 94 next difference is 30
then 129 next difference is 35
then 169 (next difference is 40) and the term is 517
-1----
3----+4----
22---19---15----
61---39---20---5
125--64---25---5
219--94---30---5
348--129--35--5
517--169--40---5
Since the problem tells us to construct a difference table to predict the next term of the sequence, we can assume that in fact the sequence is generated by a polynomial function.
−1 3 22 61 125 219 348 original sequence
4 19 39 64 94 129 first differences
15 20 25 30 35 second differences
5 5 5 5 constant third difference
There is the constant difference you need. Continue that common difference for one more step: