5, 4, 6, ____ 56, 275
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Given: 5, 4, 6, ____ 56, 275
To Find : Missing number in the series
Solution:
5
5 * 1 - 1 = 4
4 *2 - 2 = 6
6 * 3 - 3 = 15
15 * 4 - 4 = 56
56 * 5 - 5 = 275
Hence missing number is 15
Logic is
Tₙ₊₁ = Tₙ * n - n = n ( Tₙ - 1) where T₁ = 5
Tₙ₊₁ = n ( Tₙ - 1) can be shown as
5
(5 - 1) * 1 = 4
(4 - 1) * 2 = 6
(6 - 1) * 3 = 15
(15 - 1) * 4 = 56
(56 - 1) * 5 = 275
Hence missing number in the series is 15
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