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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 a sequence in which a common difference separates terms?

arithmetic 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.


If a equals 4 and d equals -2 what is the first four terms of the arithmetic sequence?

6


WHAT ARE THE FIRST THREE OF AN ARITHMETIC SEQUENCE WHOSE LAST TERM IS IF THE COMMON DIFFERENCE IS -5?

To find the first three terms of an arithmetic sequence with a common difference of -5, we first need the last term. If we denote the last term as ( L ), the terms can be expressed as ( L + 10 ), ( L + 5 ), and ( L ) for the first three terms, since each term is derived by adding the common difference (-5) to the previous term. Thus, the first three terms would be ( L + 10 ), ( L + 5 ), and ( L ).


What is first four terms of the arithmetic sequence with common difference of 3 and a first term of -26?

29


The nth term -4,-1,4,11,20,31?

14112027


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 the sum of the first 12 terms of the arithmetic sequence?

The sum of the first 12 terms of an arithmetic sequence is: sum = (n/2)(2a + (n - 1)d) = (12/2)(2a + (12 - 1)d) = 6(2a + 11d) = 12a + 66d where a is the first term and d is the 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 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.