Find the next term in the following number series:3, 7, 16, 35, 74, ?
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Find the next term in the following number series:3, 7, 16, 35, 74, ?
162
149
153
148
158
The pattern is: 3*2+1=7, 7*2+2=16, 16*2+3=35, 35*2+4=74, 74*2+5=153.
The logic of the series multiplies each term by 2 and then alternately adds and subtracts 1. Multiplying 3 by 2 and adding 1 gives 7, multiplying 7 by 2 and adding 2 gives 16, and multiplying 16 by 2 and adding 3 gives 35. Following this combined multiplication and addition pattern, multiplying 35 by 2 and adding 3 yields 153. The result is 153.