Find the next term of the given series. 36, 6, 25, 5, 16, 4, ?
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Find the next term of the given series. 36, 6, 25, 5, 16, 4, ?
14
9
8
7
3
The series is pairs of (square, square root): (36, 6), (25, 5), (16, 4). The next term should be the square of the next integer, which is 3^2 = 9.
The series is formed by pairing a perfect square with its square root. The pair 36 and 6 is followed by 25 and 5, which is then followed by 16 and 4. Continuing this established pattern, the next pair must start with the perfect square 9, making 9 the correct next term.