The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.
The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.
<h3>What is the pattern and the function behind a given series?</h3>
In this problem we have two cases of <em>arithmetic</em> series, which are sets of elements generated by a condition in the form of <em>linear</em> function and inside <em>absolute</em> power. <em>Linear</em> <em>functions</em> used in these series are of the form:
y = a + r · x (1)
Where:
- a - Value of the first element of the series.
- r - Common difference between two consecutive numbers of the series.
- x - Index of the element of the series.
The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.
The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.
To learn more on series: brainly.com/question/15415793
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Step-by-step explanation:
A mathematical phrase that groups together numbers, variables, and operators, to show the value of something is called expression.
An expression is a sentence fragment that stands for a single numerical value. On the contrary, an equation is a sentence showing equality between two expressions.
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
The area of a circle with a Diameter of 10 is 78.54
2/7 because both 8 and 28 are divisible by 4
I assume you're asking about #19?
24 students total, teacher gives each PAIR of students 3 magnets.
There are 12 pairs of students, then, and the teacher has given 9 of those pairs their 3 magnets, leaving 3 pairs without their magnets.
3 pairs remaining to get 3 magnets (3*3=9)
The teacher needs 9 more magnets.
