Fill in the blank so that the numbers are evenly spaced. 101, _____, _____,1001
1 + [(1001 - 101)/3] = ?
(1001 - 101)/3 = ?
To find the missing numbers that will create an evenly spaced sequence, we need to determine the common difference between the numbers. This can be done by subtracting the first term from the last term and then dividing by the number of intervals between them.
In this case, we are given the sequence 101, ___, ___, 1001.
The first term is 101, and the last term is 1001. So, the difference between them is 1001 - 101 = 900.
Now, we need to find the number of intervals between them. As there are two missing numbers, there will be three intervals.
Thus, the common difference between the numbers can be calculated as (1001 - 101) / 3 = 300.
To find the missing numbers, we can now add the common difference consecutively starting from the first given number.
The missing numbers in the sequence become:
101, 101 + 300 = 401, 401 + 300 = 701, 701 + 300 = 1001.
Therefore, the numbers that will form an evenly spaced sequence in the given sequence are 101, 401, 701, 1001.