What number comes next in this series????? 3, 10, 21, 44, 87

a)112

b)125

c)130

d)163

e)158

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- March 12th 2009, 12:53 AMkl050196urgent pattern i can not solve
What number comes next in this series????? 3, 10, 21, 44, 87

a)112

b)125

c)130

d)163

e)158 - March 12th 2009, 02:20 AMADARSH
- March 12th 2009, 02:28 AMkl050196
- March 12th 2009, 03:05 AMmr fantastic
- March 12th 2009, 05:57 AMSoroban
Hello, kl050196!

Mr. Fantastic did his usual excellent job.

I too enjoy cranking out the generating functions for these problems.

However, since it asked for the next term (only),

. . we can use a somewhat intuitive approach.

Quote:

What number comes next in this series: .

. .

Take the difference of consecutive terms.

Then take the differences of the differences, and so on.

It*seems*that the 3rd differences are constant.

If this is true, we can extend the diagram to the right . . .

We assume that the next 3rd difference is also 8:

. .

Then the next 2nd difference must be 28:

. .

Then the next 1st difference must be 71:

. .

Finally, the next term of the sequence must be 158:

. . ta-*DAA!*