Number Series

The pattern is: 480/1 = 480, 480/2 = 240, 240/3 = 80, 80/4 = 20, 20/5 = 4.

The series follows the pattern of doubling the previous number and subtracting 1 (2*2-1=3, 3*2-1=5, 5*2-1=9, 9*2-1=17). Following this, 17*2-1 = 33.

Differences: 23-20=3, 30-23=7, 43-30=13, 64-43=21. Second differences: 7-3=4, 13-7=6, 21-13=8. Next second difference is 10. Next first difference is 21+10=31. Next number is 64+31=95.

Differences: 10-3=7, 22-10=12, 41-22=19, 69-41=28, 108-69=39. Second differences: 12-7=5, 19-12=7, 28-19=9, 39-28=11. The next second difference should be 13. So, 39+13=52. 108+52=160.

The differences are: 3-3=0, 5-3=2, ?-5=x, 15-?=y, 23-15=8, 33-23=10. The differences are 0, 2, 4, 6, 8, 10. So 5+4=9.

The series follows the pattern: divide by 1, 2, 3, 4, 5, 6. Specifically: 3601/1=3601, 3602/2=1801, 1803/3=601, 604/4=151, 154/5=30.8. The sequence logic is inconsistent; however, checking the division pattern 3601, 1800, 600, 150, 30, 6 suggests the terms are off by small increments. 154 is the most significant outlier in the progression.

The terms of the series follow the pattern of n * (n + 1) for consecutive integers starting from n = 1. The sequence should be 1*2 = 2, 2*3 = 6, 3*4 = 12, 4*5 = 20, and so on, which means 8 is incorrect and should be 6.

Pattern: 14*1+1=15, 15*2+2=32, 32*3+3=99 (not 100), 99*4+4=400, 400*5+5=2005, 2005*6+6=12036. The wrong number is 100.

The series is 75, 73 (-2), 69 (-4), 67 (-2), 63 (-4). The pattern is alternating -2, -4. The next step should be -2, so 63 - 2 = 61.