Adding consecutive odd numbers
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47 4+7 = 11 7+11 = 18 11+18=29 18+29=47
It is obvious that 7 is added to get the next number from the previous one.
35. The difference between successive terms increases by 1: 5 + 6 = 11 11 + 7 = 18 18 + 8 = 26 ⇒ 26 + 9 = 35
The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
It is 30; the first, third, and fifth numbers form the sequence 12, 18, 24. The second, fourth, and sixth numbers follow the sequence 11, 14, 17. Logically, the seventh number must be 24 + 6, so 30.