Which is the next logical number in this sequence of numbers : 5, 7, 10, 14, 19?

Which is the next logical number in this sequence of numbers : 5, 7, 10, 14, 19? ?

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Best Answer Explained in Below-:

Let us observe the sequence, 5,7,10,14,19 The difference between first 2 numbers = 7 - 5 = 2 The difference between next 2 numbers = 10 - 7 = 3 The difference between next 2 numbers = 14 - 10 = 4 The difference between next 2 numbers = 19 - 14 = 5 So logically, the difference between any two consecutive number is gradually increasing by 1. Therefore difference between next 2 numbers should be 6 If x is the next number, then according to the above relation x - 19 = 6 i.e, x = 19 + 6 = 25.

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