Question

Missing number from the series 31,64,_, 804,4040,24270

Answer 1

Given : 31, 64, _, 804,4040,24270​

To Find : Missing number in the series

Solution:

31

31 * 2  +  1 * 2   =  64

64 * 3  + 2 * 3  = 198

198 * 4  + 3 * 4  = 804

804 * 5 + 4 * 5  = 4040

4040  * 6 + 5 *6  = 24270

Hence missing number is 198

Logic is

Tₙ = Tₙ₋₁  * n  +  n(n - 1)   where T₁ = 31

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