Find the next term of the series. 6, 13, 28, 59, ?
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Find the next term of the series. 6, 13, 28, 59, ?
108
159
122
118
162
The pattern is: 6*2+1=13, 13*2+2=28, 28*2+3=59, 59*2+4=122.
The differences between consecutive terms follow a doubling pattern. The differences are 7, 15 and 31, and each difference is multiplied by 2 with 1 added to it; for example, 7 multiplied by 2 plus 1 is 15, and 15 multiplied by 2 plus 1 is 31. The next difference is 31 multiplied by 2 plus 1, which equals 63. Adding 63 to 59 gives 122.