Type the missing numbers in this sequence:
, -59,
66
, -73, -80, -87, -94
The missing numbers in the sequence are: -66, -55, -102, -109, -116.
To find the missing numbers in the sequence, we need to determine the pattern. Looking at the given numbers, we can observe the following pattern:
- Start with a positive number (positive 66 in this case)
- Add a negative number (negative 59)
- Subtract 7 from the previous number (66 - 7 = 59)
- Repeat step 2 and step 3
Using this pattern, we can determine the missing numbers in the sequence:
Positive 66 - Negative 7 = 59 (the given missing number)
59 - 7 = 52
52 - 7 = 45
45 - 7 = 38
So, the missing numbers are 59, 52, 45, and 38.
To determine the missing numbers in the given sequence, let's analyze the pattern:
Firstly, we start with a comma (,) which indicates that there is a number missing before the sequence starts. So, let's assume the missing number before the sequence is denoted by "x".
The given sequence is:
x, -59, 66, -73, -80, -87, -94
Now let's examine the pattern between the known numbers:
1st Gap: -59 - x = 59
2nd Gap: 66 - (-59) = 66 + 59 = 125
3rd Gap: -73 - 66 = -139
4th Gap: -80 - (-73) = -80 + 73 = -7
5th Gap: -87 - (-80) = -87 + 80 = -7
6th Gap: -94 - (-87) = -94 + 87 = -7
Looking at the gaps, we notice that the difference alternates between 125 and -7. Therefore, we can use this pattern to find the missing numbers.
Starting with the first known number, -59, we add 125 to it:
-59 + 125 = 66
So, the first missing number after -59 in the sequence is 66.
Next, we add -7 to 66:
66 - 7 = 59
So, the next missing number after 66 is 59.
Continuing this pattern, we add 125 to 59:
59 + 125 = 184
So, the next missing number after 59 is 184.
Therefore, the complete sequence, including the missing numbers, is:
x, -59, 66, 59, -73, -80, -87, -94, 184.