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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 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 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.


How can you get the common difference in an arithmetic sequence?

You subtract any two adjacent numbers in the sequence. For example, in the sequence (1, 4, 7, 10, ...), you can subtract 4 - 1, or 7 - 4, or 10 - 7; in any case you will get 3, which is the common difference.


How do you find out the formula for a Quadratic Sequence?

A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.


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.