Question

find wrong num in this series...4 15 37 100 224 439 781?​

Answer 1

The given series:

4, 15, 37, 100, 224, 439, 781

We have to find, the wrong number in the given series.

Solution:

The pattern follow:

+ ($2^{3} -1$),  + ($3^{3} -1$),  + ($4^{3} -1$),  + ($5^{3} -1$),  + ($6^{3} -1$), ........

15 = 4 + ($2^{3} -1$) = 4 + 7

    = 11 ≠ 15, is wrong number

37 = 11 + ($3^{3} -1$) = 11 + 26(27 - 1)

    = 37

100 = 37 + ($4^{3} -1$) = 37 + 63(64 - 1)

     = 100

224 = 100 + ($5^{3} -1$) = 100 + 124(125 - 1)

      = 224

439 = 224 + ($6^{3} -1$) = 224 + 216(216 - 1)

      = 439

781 = 439 +  ($7^{3} -1$) = 439 + 342(343 - 1)

     = 781

∴ Wrong number = 15

Thus, the wrong number in the given series is 15.

Answer 2

Given :   4 15 37 100 224 439 781

To Find : wrong number in the series

Solution:

4     15     37      100     224      439      781

  11      22     63      124       215       342

                   4³-1      5³-1      6³-1      7³-1

11 + 22 = 33  = ( 2³ - 1 + 3³ - 1)    = 7 + 26

Hence correct Series would be

4     11     37      100     224      439      781

  7      26     63      124       215       342

2³-1   3³-1    4³-1     5³-1      6³-1      7³-1

So Wrong number in the series is 15

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