What number is next in line sequence 2 4 10 28 82?

Answer 1

Well, if you notice, the difference between 2 and 4 is 2. if we multiply that by 3, we get the difference between 4 and 10. Next, if we take that 6 and multiply by 3 we bet 18, the difference between 10 and 28. And if we multiply 18 by 3 we get 54 which is the difference between 28 and 82, etc....

Furthermore, We can define this pattern as the following recursively defined sequence:

an = an-1 + [ (an-1 - an-2) * 3] Where a0 = 2 and a1 = 4.

EX:

a2 = a1 + [ (a1 - a0) * 3 ] = 4 + [ (4-2) * 3 ] = 10

a3 = a2 + [ (a2 - a1) * 3 ] = 10 + [ (10 - 4) * 3] = 28

and so forth...... hope this helps!

Answer 2

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