Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.
It is a sequence of numbers. That is all. The sequence could be arithmetic, geometric, harmonic, exponential or be defined by a rule that does not fit into any of these categories. It could even be random.
1, 4, 7, 10, 13, …
It is an ordered set of elements. These elements may or may not be numbers, there may or may not be a defining rule - for example a sequence of random numbers.
The rule for the sequence is an = xn-1 + xn-2The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, . . . , in which each successive number is equal to the sum of the two preceding numbers.
Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.
A sequence is an ordered set of numbers. There may be a rule governing the sequence such that, if you know the numbers in the sequence up to a particular point, the rule will allow you to deduce the value of the next number in the sequence. That rule - if it exists - is the sequential pattern.
1, 4, 7, 10, 13, …
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
It appears that a number of -79 is missing in the sequence and so if you meant -58 -65 -72 -79 -86 then the nth term is -7n-51 which makes 6th term in the sequence -93
Those are the first four prime numbers.
The rule method is used to describe any set of numbers, so put any sequence of numbers in brackets and there you go.
A sequence is an ordered set. They may consist of numbers or letters, there may or may not be a rule (for example, in a random sequence), it may be finite or infinite.
You first have to figure out some rule for the sequence. This can be quite tricky.
sequence
Not sure about this question. But, a geometric sequence is a sequence of numbers such that the ratio of any two consecutive numbers is a constant, known as the "common ratio". A geometric sequence consists of a set of numbers of the form a, ar, ar2, ar3, ... arn, ... where r is the common ratio.
It is a finite numerical sequence and according to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways - some simple, some complicated but all equally valid. The simplest rule here is a cubic rule.