Question

6,12,60,222,606,? the next number in the above series is.?​

Answer 1

Given  : 6,12,60,222,606,?

To Find : Next number in series

Solution:

6    12   60   222   606     ?

  6     48   162    384   750

6(1³)  6(2³) 6(3³)  6(4³)  6(5³)

? = 606 + 750 = 1356

6

6  + 6(1)³ =  12

12 + 6(2)³ = 60

60 + 6(3)³ = 222

222 + 6(4)³ = 606

606 + 6(5)³ = 1356

Next number in series is 1356

Logic is   Tₙ₊₁ = Tₙ  + 6(n)³    where T₁ = 6

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