In the following question, select the missing number from the given series.
2112, 2328, 2671, 3183, ?, 4912
The logic here is
2328 - 2112 = 216 = 6$$^3$$
2671 - 2328 = 343 = 7$$^3$$
3138 - 2671 = 512 = 8$$^3$$
The differences between the consecutive numbers of the series are cubes of consecutive numbers.
The next difference should be 9$$^3$$
Let the missing number in the series = a
$$\Rightarrow$$ a - 3138 = 9$$^3$$
$$\Rightarrow$$ a - 3138 = 729
$$\Rightarrow$$ a =Â 3912
$$\therefore\ $$The missing number in the series = 3912
Hence, the correct answer is Option C
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