No pattern has been indicated in the question.
t(n) = n2 - 2n + 4
Benjamin is using counters that are normally circular in shape so he will find it difficult to create rectangular shapes so it follows that an algebraic expression is not possible.
Foil
binomials
To do the Nelson Mathematics 4.2 "Creating Pattern Rules from Models" worksheet, you will need to analyze the given patterns and identify the relationship between the inputs and outputs. Look for any consistent changes or rules that govern the pattern. Create an algebraic expression or rule that represents this relationship, using variables to generalize the pattern. Finally, test your rule by applying it to different inputs to ensure it accurately predicts the corresponding outputs.
Multiply vertically the extreme left digits is one pattern involved in multiplying algebraic expressions. Multiplying crosswise is another common pattern that is used.
You just write down the range of the pattern.
Describe what specifically about it makes it a pattern. What about it repeats and why that repetition is unique.
t(n) = n2 - 2n + 4
Things in an Algebraic expression that occur every time and do not change. Parts that are not in a general pattern are usually represented by variables.
The sequence 3, 6, 9, 12, 15 can be represented by the algebraic expression (3n), where (n) is a positive integer starting from 1. Specifically, when (n = 1), the expression yields 3; when (n = 2), it yields 6; and so on, producing the sequence. Thus, the expression captures the pattern of increasing multiples of 3.
Benjamin is using counters that are normally circular in shape so he will find it difficult to create rectangular shapes so it follows that an algebraic expression is not possible.
m(a + b) = ma + mb distributive property (a + b)(c + d) = a(c + d) + b(c + d) The use distributive prop. twice. (c + d)(x + y + z) = c(x + y + z) + d(x + y + z) Still use dist. prop. etc. These work for subtraction as well.
There is no pattern.
constitutive expression, because there is norepressor
The pattern in the sequence 18, 1800, 180000 appears to involve multiplying by 100 each time. Starting with 18, multiplying by 100 gives 1800, and multiplying 1800 by 100 results in 180000. Following this pattern, the next number would be 180000 multiplied by 100, which is 18000000.
In computing, a backreference is an item in a regular expression equivalent to the text matched by an earlier pattern in the expression.