Series Vs Sequence Math

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Series vs sequence math. How can the sum of an infinite series sum to a finite number. Actually the main difference between a series and a sequence is that a series is the sum of the terms of a sequence. The addition and also the resulting value are called the sum or the summation. In a series when mathematicians talk of convergence they mean that the infinite sequence sums to a finite number.

Difference between series and sequence sequence and series are encountered in mathematics sequence is an arrangement of numbers in an orderly manner. Sequences are of many types and most popular are arithmetic and geometric series is the sum of a sequence which one gets when he adds up all. Series are similar to sequences. By contrast a series is just adding up or summing a group of numbers i e 6 7 8 9 10.

The sequence is defined as the collection of numbers or objects that follow a definite pattern. Order matters in a sequence as there is a certain rule that prescribes the pattern of. The difference between sequence and series can be drawn clearly on the following grounds. When we sum up just part of a sequence it is called a partial sum.

On the other hand a series is a sum of a partial part of an infinite sequence and generally comes out to be a finite value itself. A series is what you get when you add up all the terms of a sequence. However as there will be no negative value or any number less than zero in the sequence the limit or end of the sequence no matter how long it will become is assumed to be zero. A sequence called a progression in british english is an ordered list of numbers.

But a sum of an infinite sequence it is called a series it sounds like another name for sequence but it is actually a sum. The numbers in this ordered list are called the elements or the terms of the sequence.