Select the number that can replace the question mark (?) in the following series. 5, 6, 10, 19, 35, ?
Select the number that can replace the question mark (?) in the following series. 5, 6, 10, 19, 35, ?
A64
B73
C55
D60
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The series is: 5, 6, 10, 19, 35, ?
Let's analyze the pattern by looking at the differences between consecutive numbers:
- 6 - 5 = 1
- 10 - 6 = 4
- 19 - 10 = 9
- 35- 19 = 16
The differences are: 1, 4, 9, 16, which are perfect squares (1², 2², 3², 4²).
Following this pattern, the next difference should be 5² = 25.
Add this to the last number in the series: 35 + 25 = 60.
Therefore, the number that replaces the question mark is:
\(\boxed{60}\)
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