complete the pattern
1,1,2,6,24,__
120 ,
1x1,1x2,2x3,6x4,24x5
1 * 1 = 1
1 * 2 = 2
2 * 3 = 6
6 * 4 = 24
24 * ? = ?
Thank you so very much!!!
You're very welcome.
To complete the pattern, you need to identify the rule or pattern that governs the sequence of numbers and then apply that rule to find the missing number.
Let's analyze the given sequence: 1, 1, 2, 6, 24, __
If we look at the differences between consecutive terms, we see that the differences are increasing. Let's calculate the differences:
1, 2-1=1, 6-2=4, 24-6=18, __
The differences are not following a consistent pattern. Let's try a different approach.
If we look closely, we can see that each number in the sequence is the product of the previous number and the position of that number in the sequence.
For example:
1 x 1 = 1
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
So, to find the missing number, we can continue the pattern:
24 x 5 = 120
Therefore, the missing number that completes the pattern is 120.