what is the rule for ___,68,___,94,___,120
What would you do if the differences between the numbers are equal, for example:
10___30___50___70
what is the rule for ___,68,___,94,___,120
To find the missing numbers in the sequence ___, 68, ___, 94, ___, 120, we need to identify the pattern or rule that governs the sequence.
Looking at the given sequence, it appears that the numbers are increasing in a regular interval. Let's examine the differences between consecutive terms:
68 - ___ = (Unknown 1)
___ - 68 = (Unknown 2)
94 - ___ = (Unknown 3)
___ - 94 = (Unknown 4)
120 - ___ = (Unknown 5)
To find the pattern and determine the missing values, we need to calculate the common difference between terms.
To find Unknown 1, we subtract 68 from the first term (which is unknown):
Unknown 1 = 68 - Unknown 1 ==> Unknown 1 + Unknown 1 = 68 ==> 2 * Unknown 1 = 68 ==> Unknown 1 = 68 / 2 = 34
Now, we know that the common difference between terms is 34. Let's use this information to find the remaining missing values.
Unknown 2 = 68 + 34 = 102
Unknown 3 = 94 + 34 = 128
Unknown 4 = 128 + 34 = 162
Unknown 5 = 162 + 34 = 196
Therefore, the missing numbers in the sequence are 34, 102, 128, 162, and 196.