Question

Find the next number in the series 21, 23, 29, 47, 75,​

Answer 1

Answer:

I hope it's help you

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Answer 2

Answer:

157

Step-by-step explanation:

23 - 21 = 2     = 2 * 1

29 - 23 = 6    = 2 * 3    {3 - 1 = 2¹ }

47 - 29 = 18   = 2 * 6    { 6 - 3 = 3¹}

75 - 47 = 28  = 2 * 14   { 14 - 6 = 2³}

n - 75 = (n-75) =2*(n-75)/2  {(n-75)/2-14=3³}

So,

(n - 75)/2 - 14 = 3³ = 27

n - 75 = (27 + 14)*2

n = 157