very easy
Number Theory
Level
pending
1,4,19,94 ,469,2344,what is the next number?
The answer is 11719.
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1 solution
4 - 1 = 3
19 - 4 = 15 = 5 x 3
94 - 19 = 75 = 5 x 5 x 3
469 - 94 = 375 = 5 x 5 x 5 x 3
2,344 - 469 = 1,875 = 5 x 5 x 5 x 5 x 3
Basically the difference between the (n+1)th number and the nth number is 5 times the difference between the nth number and the (n-1)th number.
Taking that into consideration, the 7th number would be 2344 + 5 x 5 x 5 x 5 x 5 x 3 = 11,719.