Which number will come next in this series 31, 38, 52, 73, 101?

Answer 1

The next number is 136; starting with 31 the succeeding numbers are increased by multiples of 7

After 31, the number pattern is increasing by multiplies of 7; n₀, n₀ +(1 x 7)=n₁, n₁ + (2 x 7)=n₂

Let n₀ = 31

31, (31 + (1 x 7)), (38 + (2 x 7)), (52 + (3 x 7)) and so on

31

38 = 31 + 7

52 = 38 + 14

73 = 52 + 21

101 = 73 + 28

136 = 101 + 35

This can be checked by taking the difference between the last number and its predecessor such as

101 - 73 = 28

73 - 52 = 21 and so on.

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Answer 2

136

Look at the differences. They are 7, 14, 21, 28, multiples of 7. So, the next difference should be 35.

101+35=136.