Find the missing term in the following series. 3, 3, 6, 9, __, 24.
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Find the missing term in the following series. 3, 3, 6, 9, __, 24.
12
13
14
15
The series follows the pattern: 3 * 1 = 3, 3 * 2 = 6, 6 * 1.5 = 9, 9 * 1.66... (this is not right). Let's look at differences: 0, 3, 3, 6, 9. The pattern is that each term (starting from the third) is the sum of the two preceding terms: 3+3=6, 3+6=9, 6+9=15, 9+15=24.
This series follows an additive pattern where each term is the sum of the two preceding terms. For example, 3 plus 3 equals 6, and 3 plus 6 equals 9. Continuing this pattern, the missing term is 6 plus 9, which equals 15, and this is verified because 9 plus 15 equals 24.