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What is it where you find terms by adding the common difference to the previous terms?
An arithmetic sequence.
The nth term -4,-1,4,11,20,31?
14112027
What is a sequence where consecutive terms have a common difference?
1 2 3 4 5 6 7 8 9 10 11 12 The common difference between consecutive terms is 1.
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.
What is the common difference between consecutive terms in the following arithmetic sequence 51 47 43 39?
A single term, such as 51474339 does not define a sequence.
What is the difference between succeeding terms called?
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
What is the difference between any two successive terms in a arithmetic sequence?
It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".
What is it where you find terms by adding the common difference to the previous terms?
An arithmetic sequence.
How would a negative common difference affect the terms in an arithmetic sequence?
In an arithmetic sequence, a negative common difference means that each term decreases as you progress through the sequence. For example, if the first term is 10 and the common difference is -2, the terms would be 10, 8, 6, 4, and so on. This results in a sequence that moves downward indefinitely, leading to increasingly smaller values. Ultimately, the sequence can approach negative values, depending on the number of terms.
What choice is the common difference between the terms of this arithmetic 3x 9y 6x 5y 9x y 12x-3y 15x-7?
To find the common difference in this arithmetic sequence, we need to identify the differences between consecutive terms. The terms given are 3x, 9y, 6x, 5y, 9x, y, 12x-3y, and 15x-7. Calculating the differences, we find that the common difference is not consistent across the terms, indicating that this sequence does not represent a proper arithmetic sequence. Therefore, there is no single common difference.
How can you determine whether the arithmetic sequence has a positive common difference or a negative common difference?
If the terms get bigger as you go along, the common difference is positive. If they get smaller, the common difference is negative and if they stay the same then the common difference is 0.
What is it called when a sequence of numbers in which the difference between any two consecutive terms is the same?
A sequence of numbers in which the difference between any two consecutive terms is the same is called an arithmetic sequence or arithmetic progression. For example, in the sequence 2, 5, 8, 11, the common difference is 3. This consistent difference allows for predictable patterns and calculations within the sequence.
The nth term -4,-1,4,11,20,31?
14112027
What does common difference mean?
In mathematics, the common difference refers to the constant amount that is added or subtracted in each step of an arithmetic sequence. It is the difference between any two consecutive terms in the sequence. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term increases by this amount. This concept helps in determining the formula for the nth term of an arithmetic sequence.
What is an arithmetic sequence examples?
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, the sequence 2, 5, 8, 11, 14 has a common difference of 3. Another example is 10, 7, 4, 1, which has a common difference of -3. In general, an arithmetic sequence can be expressed as (a_n = a_1 + (n-1)d), where (a_1) is the first term and (d) is the common difference.
What is a sequence where consecutive terms have a common difference?
1 2 3 4 5 6 7 8 9 10 11 12 The common difference between consecutive terms is 1.
What is the common difference for an arithmetic sequence in which the terms are decreasing?
From the information given, all that can be said is that it will be a negative number.
