What is the rule for the pattern
< < < # < < < # n + _______?
To understand the rule for the pattern < < < # < < < # n + ______, let's analyze the pattern and identify the underlying pattern or rule.
Looking at the given pattern, we can observe that it consists of a series of symbols in a specific order: "<", "<", "<", "#", "<", "<", "<", "#". The symbol "#" occurs at regular intervals after every three "<" symbols.
To find the missing part denoted by "n + _______", we need to determine the relationship between the position of the symbol "#" and the value of the variable "n".
Let's break down the pattern further:
Position 1: "<"
Position 2: "<"
Position 3: "<"
Position 4: "#"
Position 5: "<"
Position 6: "<"
Position 7: "<"
Position 8: "#"
Position 9: n + _______
By analyzing the positions, we can observe that the pattern alternates between "<" symbols and "#" symbols. Additionally, the "#" symbol appears at positions that are multiples of 4: 4, 8, 12, 16, and so on.
Now, let's determine the relationship between the position of the "#" symbol and the variable "n". Notice that the positions of the "#" symbols can be expressed as 4n, where n represents the number of "#" symbols in the pattern sequence.
Therefore, the missing part "n + _______" can be expressed as "4n".
In conclusion, the rule for the given pattern is "n + 4n", which can be simplified as "5n".