Series Completion Quiz

The differences are 13, 16, 19. The second difference is constant at 3. The next difference is 19+3=22. 70+22=92.

The differences are: 45-30=15, 75-45=30, 105-75=30, 165-105=60. These follow a pattern of ×2, ×1, ×2. The next difference could be 60. Therefore, 165 + 30 = 195, or the pattern relates to multiplying by odd fractions.

The pattern is division by 6, 5, 4, 3, 2. Specifically: 4320/6=720, 720/5=144, 144/4=36, 36/3=12, 12/2=6, 6/1=6.

The differences are 2, 6, 12, 20, 30. These are n(n+1) for n=1, 2, 3, 4, 5. The next difference is 6*7=42. 37+20=57.

The differences are 3, 5, 7, 9. The next difference is 11. 36+11=47.

The differences are 4, 9, 16. These are squares of 2, 3, 4. The next difference is 5^2=25. 37+25=62.

The differences are: 728-705=23, 774-728=46, 935-774=161, 1050-935=115. The pattern of increases by 23, 46 gives the next difference as 161 + 184 = 345, but this doesn't fit. Alternatively, 23, 46, 69, 115 gives 774 + 69 = 843.

This is a simple arithmetic progression of odd numbers. The next number after 11 is 13.

The differences are 11, 13, 17, 19, 23. These are consecutive prime numbers. 34+17=51.

The differences are: 6-8=-2, 9-6=3, 23-9=14, 87-23=64. These are -2, 3, 14, 64. Their differences are: 5, 11, 50. Alternatively: 0-2=-2, 3+0=3, 3×4+2=14, 14×4+8=64. The next would be 64×4+16=272, so 87+272=359. But if pattern is powers of 4 minus multiples, could be 429.

The pattern is 2, -8, 2, -8, 2, -8. Specifically: 142=28, 28-8=20, 202=40, 40-8=32, 322=64, 64-8=56.

The sequence consists of pairs of identical numbers. The difference between each pair is -13 (53-13=40, 40-13=27). Therefore, the next number is 27-13=14.

The differences between consecutive terms are 1, 4, 9, 16, which are squares of consecutive integers (1^2, 2^2, 3^2, 4^2). The next difference should be 5^2 = 25, so 43 + 25 = 68.

The pattern alternates between adding 3 and subtracting 2. Starting from 12, the next step is 12-2 = 10.