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Learn what it takes to find a pattern and then to use the pattern to find the answer. In this video lesson, we look at problems that involve decimal numbers and patterns. The pattern here is that each number is its position plus 1. If x is 1, our answer is the first number in our pattern sequence. We know this is the fourth number in our sequence because the x equals 4 when x 1 equals 5. Our pattern begins with the numbers 1.5, 3, 4.5, and 6.
Decimal numbers are those numbers that have a decimal point, and a pattern is simply a set of numbers ordered by a specific rule. If x is 2, our answer is the second number in our pattern sequence. If we have the equation x 1 = 5 with a pattern of 2, 3, 4, 5, then the equation is specifically looking for the fourth number in our pattern sequence. In this example, we used whole numbers, but our problems can have decimal numbers in them too. Susan is trying to find a pattern at her local bakery. Of course the pattern continues, but right now it is our job to find the formula for this pattern so we know how to continue it.
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Try it risk-free In this video lesson, you will learn how finding a pattern can help you solve one- and two-operation problems involving decimal numbers. In this formula, our x stands for where our answer is in the pattern sequence.
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So John needs to figure out the formula for this pattern and then use that formula to find his total. We learned that to solve these types of problems, we first examine the pattern to figure out the rule.
If the price increases by for each person, John can begin writing a formula with a 10x to stand for the increase per person, where x stands for the number of people. Then we write a formula based on the rule to describe the pattern.