A static sequence: for example a geometric sequence with common ratio = 1.
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
Arithmetic Sequence
That's an arithmetic sequence.
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
arithmetic sequence this is wrong
An arithmetic sequence.
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
in math ,algebra, arithmetic
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 terms of a sequence added together is the sum.
Goemetric sequence : A sequence is a goemetric sequence if an/an-1is the same non-zero number for all natural numbers greater than 1. Arithmetic sequence : A sequence {an} is an arithmetic sequence if an-an-1 is the same number for all natural numbers greater than 1.
It's technically called an arithmetic sequence