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## Explanation Number Sequences Easy

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1. Alternating addition of 2 or 5.

2,   4,   9,   11,   16,   18,   …

+2   +5   +2   +5   +2

2. The difference decreases with 1 with increasing sequence.

30   28   25   21   16   10

-2   -3   -4   -5   -6

3. This sequence consists out of two alternating series.

-972   324   -108   36   -12   4

1. The first series shows the relation between the 1st and 3rd number, 3rd and 5th etc. in this case this following relation exists: -972/-108 = 9 -108/-12=9
2. The second series shows the relation between the 2nd and 4th number, the 4th and 6th etc. in this case 324/36=9.
3. This means that all the numbers are divided by 9. The next number in the sequence will thus be 36/9=4

4. Multiples of 6 are added with increasing sequence.

16   22   34   53   76   106

+6   +12   +18   +24   +30

5. Alternating addition of 12 or 13.

123   135   148   160   173   185

+12   +13   +12   +13   +12

6. The difference increases with 0.1 with increasing sequence.

0.3   0.5   0.8   1.2   1.7   2.3

+0.2   +0.3   +0.4   +0.5   +0.6

7. The difference increases with a factor 2 with increasing sequence.

4   5   7   11   19   35

+1((=20)   +2(=21)   +4(=22)   +8(=23)   +16(=24)

8. This sequence consists out of two alternating series.

1   2   10   20   100   200

1. The first series shows the relation between the 1st and 3rd number, 3rd and 5th etc. in this case this following relation exists: 10/1=10 100/10=10
2. The second series shows the relation between the 2nd and 4th number, the 4th and 6th etc. in this case 20/2=10.
3. This means that all the numbers are a multiple of 10. The next number in the sequence will thus be 20*10=200