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17,18,22,31,47, ... what's next

User Rosin
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1 Answer

8 votes

Answer:

Explanation:

First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.

18 -17 = 1 = 1^2

22 - 18 = 4 = 2^2

31 - 22 = 9 = 3^2

47 - 31 = 16 = 4^2

=================

Call the number comming x. 47 taken from x must give 5^2 which is 25

x - 47 = 5^2

x - 47 = 25 Add 47 to both sides

x -47 + 47 = 25 + 47

x = 72

=================

72 -47 = 25 which is 5^2.

Answer: The next number is 72

User Miga
by
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