What is a non-constant arithmetic sequence?
When the mean, median and mode of the list. 10, 2, 5, 2, 4, 2 , x. are arranged in increasing order, they form a non-constant arithmetic progression. What is the sum of all possible real values of x? SOURCE: This is question # 14 from the 2000 MAA AMC 12 Competition.
What is an example of a non arithmetic sequence?
that contain no three-term arithmetic progressions. 1, 2, 4, 5, 10, 11, 13, 14, 28, 29, 31, 32, 1, 3, 4, 6, 10, 12, 13, 15, 28, 30, 31, 33.
What is a constant arithmetic sequence?
An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. The constant between two consecutive terms is called the common difference. The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term.
What if the common difference is not constant?
Since this difference is common to all consecutive pairs of terms, it is called the common difference. It is denoted by d. If the difference in consecutive terms is not constant, then the sequence is not arithmetic. The common difference can be found by subtracting two consecutive terms of the sequence.
What is quadratic sequence?
Quadratic sequences are sequences that include an term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
What is a non geometric sequence?
If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence.
What are the 5 examples of arithmetic sequence?
= 3, 6, 9, 12,15,…. A few more examples of an arithmetic sequence are: 5, 8, 11, 14, 80, 75, 70, 65, 60.
What is a quartic sequence?
Sequences are sets of numbers that are connected in some way. In a quadratic sequence, the difference between each term increases, or decreases, at a constant rate.
What is a quadratic sequence example?
A quadratic sequence is a sequence of numbers in which the second difference between any two consecutive terms is constant. Consider the following example: 1;2;4;7;11;… We notice that the second differences are all equal to 1. Any sequence that has a common second difference is a quadratic sequence.