Directions: Find the missing term in the following series. 69, 68, 64, 55, 39, ?
Reveal answer
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Directions: Find the missing term in the following series. 69, 68, 64, 55, 39, ?
13
14
15
16
The differences between consecutive terms are: 69-68=1 (1^2), 68-64=4 (2^2), 64-55=9 (3^2), 55-39=16 (4^2). The next difference should be 5^2 = 25. 39 - 25 = 14.
The series follows a pattern of subtracting consecutive square numbers from the previous term. The subtractions are one squared (1), two squared (4), three squared (9), four squared (16), and five squared (25). Subtracting 25 from the last given number 39 yields 14.