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Fill in the blank with the correct number which will come in the series ? 1,4 ,27, 16, 125, 36, ____

Question

Fill in the blank with the correct number which will come in the series ?

1, 4, 27, 16, 125, 36, ____

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Solution

The pattern in the series is alternating between cubes and squares.

1 is the cube of 1 (1^3), 4 is the square of 2 (2^2), 27 is the cube of 3 (3^3), 16 is the square of 4 (4^4), 125 is the cube of 5 (5^5), 36 is the square of 6 (6^6),

So, the next number in the series should be the cube of 7 (7^3), which is 343.

Therefore, the blank should be filled with the number 343.

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