Question

36, 39, 51, ?, 126, 201​

Answer 1

Given : 36,39,51,?,126,201​

To find : Missing number   & Next Number

Solution:

36

36  + 3 *  1²    = 36  + 3  = 39

39 +  3 * 2²    =  39 + 12 =  51

51  +  3 * 3²    = 51  +  27 = 78

78 +  3 * 4²    = 78 + 48  = 126

126 + 3 * 5²    = 126 + 75 = 201

201 + 3 * 6²    = 201 + 108 = 309

Missing Number = 78

Next Number = 309

Logic is that

Tₙ₊₁ = Tₙ   +  3 * n²       and  T₁ = 36

Learn More:

36, 39, 51, ?, 126, 201​

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