Find the missing term in the series: 121, 225, 361, (……)
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Find the missing term in the series: 121, 225, 361, (……)
441
484
529
729
The series is 11^2, 15^2, 19^2. The bases are 11, 15, 19, which form an arithmetic progression with a common difference of 4. The next base is 19 + 4 = 23. 23^2 = 529.
Each number in the series is a perfect square of consecutive odd numbers. The square roots of the terms are 11, 15, and 19, which increase by 4 each time. Following this sequence, the next odd number is 23, and its square is 529.