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What is the value of x and y if 3x plus y and 2x plus y and 4x plus 3y and 3x plus 3y are consecutive terms of am arithmetic sequence?
There are more than 1 set of values that will work. The value's of "x = 1" and "y = -1.5" will work and therefore the values "x = 100" and "y = -150" will work as well. In other words take any number you want for the value of x and multiply that number by negative 1.5 (-1.5) to get the value of y.
y = (x multiplied by -1.5)
What else can I help you with?
How do you determine a arithmetic sequence?
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
How is a arithmetic sequence found?
You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.
1 2 4 5 7 8 10 11 13 14 16 149 how to calculate the no of terms in the sequence?
Well, we can see that all multiples of 3 have been removed. Because we know that 149 is the final value, 147 is the final value that has been removed. 147/3=49, therefore we know that 49 values have been removed from the consecutive sequence of integers (1,2,3,4,5,6,7 etc.) So, 149-49=100 Therefore there are 100 terms in the sequence.
What rule can be used to find each term in the pattern.?
To find each term in a pattern, identify the relationship between consecutive terms, which can often be expressed as a mathematical rule or formula. This could involve addition, subtraction, multiplication, or division, or a combination of these operations. For example, if each term increases by a constant value, the rule may be an arithmetic sequence; if each term is multiplied by a constant factor, it may be a geometric sequence. Once the rule is determined, it can be used to calculate any term in the pattern.
What is Terms in the sequence?
In a mathematical sequence, "terms" refer to the individual elements or numbers that make up the sequence. For example, in the sequence 2, 4, 6, 8, the terms are 2, 4, 6, and 8. Each term can be defined by a specific rule or formula that generates the sequence, such as adding a constant value or multiplying by a factor. Understanding the terms is essential for analyzing the properties and patterns within the sequence.
What are the 5 terms of an arithmetic sequence?
They are a, a+d, a+2d, a+3d and a+4d where a is the starting value and d is the common difference.
A certain arithmetic sequence has the recursive formula If the common difference between the terms of the sequence is -11 what term follows the term that has the value 11?
In this case, 22 would have the value of 11.
How do you determine a arithmetic sequence?
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
In an arithmetic sequence if the difference value is negative what is the effect?
It creates a decreasing sequence.
What is the d value of the following arithmetic sequence 16 9 2 5 12 19?
The sequence in the question is NOT an arithmetic sequence. In an arithmetic sequence the difference between each term and its predecessor (the term immediately before) is a constant - including the sign. It is not enough for the difference between two successive terms (in any order) to remain constant. In the above sequence, the difference is -7 for the first two intervals and then changes to +7.
In the eight term sequence abcdefgh the sum of any three consecutive terms is 14 if b7 and f4 determine the value of d?
3
How is a arithmetic sequence found?
You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.
What is the y value in the following arithmetic sequence 4 7 10 13 16?
None, since there is nothing to link y to the sequence.
What is the value of the nth term in the following arithmetic sequence 12 6 0 -6 ...?
To find the value of the nth term in an arithmetic sequence, you can use the formula: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference between terms. In this sequence, the first term (a_1 = 12) and the common difference (d = -6 - 0 = -6). So, the formula becomes (a_n = 12 + (n-1)(-6)). Simplifying this gives (a_n = 12 - 6n + 6). Therefore, the value of the nth term in this arithmetic sequence is (a_n = 18 - 6n).
What is an nth term in an arithmetic sequence?
The nth term is referring to any term in the arithmetic sequence. You would figure out the formula an = a1+(n-1)d-10where an is your y-value, a1 is your first term in a number sequence (your x-value), n is the term you're trying to find, and d is the amount you're increasing by.
Difference between AP series GPs reis?
AP - Arithmetic ProgressionGP - Geometric ProgressionAP:An AP series is an arithmetic progression, a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, … is an arithmetic progression with common difference 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by:and in generalA finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.The behavior of the arithmetic progression depends on the common difference d. If the common difference is:Positive, the members (terms) will grow towards positive infinity.Negative, the members (terms) will grow towards negative infinity.The sum of the members of a finite arithmetic progression is called an arithmetic series.Expressing the arithmetic series in two different ways:Adding both sides of the two equations, all terms involving d cancel:Dividing both sides by 2 produces a common form of the equation:An alternate form results from re-inserting the substitution: :In 499 AD Aryabhata, a prominent mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, gave this method in the Aryabhatiya (section 2.18) .[1]So, for example, the sum of the terms of the arithmetic progression given by an = 3 + (n-1)(5) up to the 50th term isGP:A GP is a geometric progression, with a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1 / 2.Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Historically, geometric series played an important role in the early development of calculus, and they continue to be central in the study of convergence of series. Geometric series are used throughout mathematics, and they have important applications in physics, engineering, biology, economics, computer science, queuing theory, and finance.
What are 10 algebraic terms that start with A?
Abscissa Absolute Value Absolute Value Rules Acceleration Accuracy Additive Inverse of a Matrix Algebra Analytic Geometry Analytic Methods Argand Plane Argument of a Function Arithmetic Progression Arithmetic Sequence Arithmetic Series Asymptote Augmented Matrix Average Rate of Change Axes Axis of Reflection Axis of Symmetry Axis of Symmetry of a Parabola Source~http://www.mathwords.com/index_algebra.htm
