Complete the sequence.
1/2, 1 1/4, 2
The pattern in the sequence appears to be increasing by adding 3/4 each time.
Starting with 1/2, we can add 3/4 to get the next number in the sequence:
1/2 + 3/4 = 2/4 + 3/4 = 5/4 or 1 1/4
To find the next number, we add 3/4 to 1 1/4:
1 1/4 + 3/4 = 5/4 + 3/4 = 8/4 or 2
Therefore, the next number in the sequence is 2.
Complete the sequence.
1/2, 1 1/4, 2, ???
Write your answer as a mixed fraction.
To find the pattern in the sequence, let's look at the difference between each consecutive term.
The difference between the first and second term is 1 1/4 - 1/2 = 5/4 - 2/4 = 3/4.
The difference between the second and third term is 2 - 1 1/4 = 8/4 - 5/4 = 3/4.
Since the difference between each consecutive pair of terms is consistent at 3/4, we can continue the sequence by adding 3/4 to the last term.
2 + 3/4 = 8/4 + 3/4 = 11/4 = 2 3/4.
Therefore, the missing term in the sequence is 2 3/4.
To find the pattern and complete the sequence, let's look at the differences between consecutive terms:
1 1/4 - 1/2 = 1/2
2 - 1 1/4 = 3/4
Notice that the difference between the first two terms is 1/2, and the difference between the second and third terms is 3/4.
To continue the pattern, we can add the next difference to the last term:
2 + 3/4 = 8/4 + 3/4 = 11/4
Therefore, the next term in the sequence is 11/4.
To complete the sequence, we need to look for a pattern or relationship between the given numbers.
Let's analyze the sequence:
1/2, 1 1/4, 2
The first number, 1/2, can be written as a mixed number: 0 1/2 or 0.5.
The second number, 1 1/4, can also be written as 1.25.
Now, let's find the relationship between these numbers. It appears that each number is obtained by adding 0.5 to the previous number:
0.5 + 0.5 = 1.0 (1 as a mixed number is expressed as 1 0/4 or 1.00)
1.0 + 0.5 = 1.5 (1 1/2 or 1.50)
1.5 + 0.5 = 2.0 (2 as a mixed number is 2 0/4 or 2.00)
Therefore, the next number in the sequence should be obtained by adding 0.5 to the previous number, which is 2.
2 + 0.5 = 2.5
So, the completed sequence is: 1/2, 1 1/4, 2, 2 1/2 or 0.5, 1.25, 2, 2.5.