Directions: Find out the missing number in the given series. 1, 5, 9, (?), 25, 37, 49
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Directions: Find out the missing number in the given series. 1, 5, 9, (?), 25, 37, 49
17
16
15
14
13
The series is 1, 5, 9, ?, 25, 37, 49. Differences: 5-1=4, 9-5=4. If the pattern continues, 9+4=13, 13+4=17. But 17+8=25, 25+12=37, 37+12=49. The pattern is +4, +4, +8, +8, +12, +12. So 9+8=17.
The differences between consecutive terms are 5-1=4, 9-5=4, 37-25=12, and 49-37=12, creating an alternating addition pattern of 4 and 8. Since the last established step was adding 12 (which is 4+8) from 25 to 37, we look at the step from 9 to the missing term, which should be adding 8. Therefore, 9 + 8 = 17, making the result 17.