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3 votes
What is the next number in this pattern 17, 18, 22, 31, 47

asked
User Richalot
by
7.7k points

1 Answer

3 votes

Answer:

72

Explanation:

Let's analyze the pattern to try to identify the relationship between the numbers.

From 17 to 18, there is an increase of 1.

From 18 to 22, there is an increase of 4.

From 22 to 31, there is an increase of 9.

From 31 to 47, there is an increase of 16.

Notice that the differences between consecutive numbers are consecutive perfect squares: 1, 4, 9, 16. This suggests that the pattern involves squaring consecutive integers and adding them to the previous number.

Let's continue the pattern:

From 47, the next perfect square is (5^2 = 25).

Adding 25 to 47 gives us 72.

So, the next number in the pattern is 72.

answered
User Drzymala
by
8.6k points

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