Directions: Find out the next term in the given series. 1, 5, 11, 19, 29, ...
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Directions: Find out the next term in the given series. 1, 5, 11, 19, 29, ...
41
63
45
95
51
The series follows a pattern of increasing differences: 5-1=4, 11-5=6, 19-11=8, 29-19=10. The next difference should be 12, so 29+12=41.
The differences between the consecutive terms increase by 2 at each step. The first difference is 5 minus 1, which equals 4; the second is 11 minus 5, which equals 6; the third is 19 minus 11, which equals 8; and the fourth is 29 minus 19, which equals 10. Therefore, the next difference must be 12, and adding 12 to 29 gives the next term. The result is 41.