In the following question, select the missing number from the given alternatives
132, 475, 987, 1716, 2716, ?
The logic here is
475 - 132 = 343 = 7$$^3$$
987 - 475 = 512 = 8$$^3$$
1716 - 987 = 729 = 9$$^3$$
2716 - 1716 = 1000 = 10$$^3$$
The difference between consecutive numbers of series is equal cube of consecutive numbers.
The next difference should be 11$$^3$$ = 1331
Let the next number in the series = a
$$\Rightarrow$$Â a - 2716 = 1331
$$\Rightarrow$$Â a = 4047
$$\therefore\ $$The missing number in the series = 4047
Hence, the correct answer is Option B
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