1,2,6,24,120
The next term in this sequence is 720.
This sequence is created by multiplying each term by the next consecutive integer.
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
1,2,6,24,120,720…
The next term in this sequence is 5040.
This sequence is created by multiplying each term by the next consecutive integer:
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5040
The given sequence is: 1, 2, 6, 24, 120.
To find the next number in the sequence, you need to find the pattern.
If we look at the differences between consecutive terms, we see that:
2 - 1 = 1
6 - 2 = 4
24 - 6 = 18
120 - 24 = 96
The differences are not constant, so the sequence doesn't seem to be an arithmetic sequence.
If we look at the ratios between consecutive terms, we see that:
2 / 1 = 2
6 / 2 = 3
24 / 6 = 4
120 / 24 = 5
The ratios are constant, so the sequence could be a geometric sequence.
To find the next term in a geometric sequence, you can multiply the last term by the common ratio.
The common ratio in this sequence is 2 (2, 3, 4, 5).
Therefore, the next term is 120 * 2 = 240.
So, the next number in the sequence is 240.
The given sequence is 1, 2, 6, 24, 120. Let's try to find the pattern and explain how to arrive at each term.
In this sequence, each term is obtained by multiplying the previous term by a consecutive positive integer.
To find the second term:
- Start with the first term, which is 1.
- Multiply 1 by 2 to get the second term, which is 2.
To find the third term:
- Start with the second term, which is 2.
- Multiply 2 by 3 to get the third term, which is 6.
To find the fourth term:
- Start with the third term, which is 6.
- Multiply 6 by 4 to get the fourth term, which is 24.
To find the fifth term:
- Start with the fourth term, which is 24.
- Multiply 24 by 5 to get the fifth term, which is 120.
So, the pattern in this sequence is to multiply each term by the consecutive positive integers.