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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.
In an arithmetic sequence the constant rate of increase or decrease between successive terms is called the?
In an arithmetic sequence, the constant rate of increase or decrease between successive terms is called the common difference. This value can be positive, negative, or zero, depending on whether the sequence is increasing, decreasing, or constant. The common difference is denoted by the symbol ( d ) and is calculated by subtracting any term from the subsequent term.
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 difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
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 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
In an arithmetic sequence the constant rate of increase or decrease between successive terms is called the?
In an arithmetic sequence, the constant rate of increase or decrease between successive terms is called the common difference. This value can be positive, negative, or zero, depending on whether the sequence is increasing, decreasing, or constant. The common difference is denoted by the symbol ( d ) and is calculated by subtracting any term from the subsequent term.
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.
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
