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The sum of the terms in a sequence is called a series. Sequence is a function whose domain is the natural numbers. So f(1)= first entry in the sequence, and f(2) is the next.... f(n) is the nth term. We usually don't write sequences that way. Instead of f(1) we write, a1 to refer to the first term. The function tells us the rule we use to find the terms of the sequence. So for example, f says take n and square it. Then the first 3 terms of the sequence are 1, 4 and 9 and the first 3 terms of the series are 1, 5 and 14
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What is the difference between an infinite sequence and an infinite series?
A series is a special case of a sequence where the n'th term is the sum of n numbers a1, a2, ..., an. In other words, it is a sequence in the form S1 = a1 S2 = a1 + a2 S3 = a1 + a2 + a3 ... Sn = a1 + a2 + ... + an
What is the difference between an infinite sequence and a finite sequence?
A finite sequence has a beginning and an end, whereas an infinite sequence has no end.
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.
What is the definiton of a sequence in which the difference between any two consecutive terms is the same?
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
What is the difference between error and defect?
sequence number 5.5
