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2026
In a sequence of numbers, each number other than the first two is the sum of the two immediately preceding numbers from it. If the first two numbers in the sequence are 4 and 7, then the sixth number is

Explanation

The sequence follows the rule an=an1+an2a_n = a_{n-1} + a_{n-2}. Starting with 4 and 7:

  • a1=4a_1 = 4, a2=7a_2 = 7
  • a3=4+7=11a_3 = 4 + 7 = 11
  • a4=7+11=18a_4 = 7 + 11 = 18
  • a5=11+18=29a_5 = 11 + 18 = 29
  • a6=18+29=47a_6 = 18 + 29 = 47

Thus, the sixth number is 47.

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