Question

what is the difference between sequence and series

Answer 1

The list of numbers written in a definite order is called a sequence. The sum of terms of an infinite sequence is called an infinite series. A sequence can be defined as a function whose domain is the set of Natural numbers. Therefore sequence is an ordered list of numbers and series is the sum of a list of numbers.

Example of a sequence:

 

2, 4, 6, 8, 10 …

 

Now if we add them up:

 

2+4+8+10+ …

 

This is a series.

Answer 2

Sequence : Numbers are written in a particular manner.

Series: Numbers are written as sum of elements of sequence.

Question: Difference between sequence and series.

Answer:

Sequence : Numbers are written in a particular manner.

For example:

• 1,2,3,4,5... it's an AP, with first digit '1' and common difference '1'.
• 1,4,7,10,13... it's an AP, with first digit '1' and common difference '3'.
• 1,2,4,8... it's a GP, with the first digit '1' and the common ratio '2'.
• 1,4,9,16,25..., it is a sequence , whose elements are squares of natural numbers.
• 1,8,27,64,125,...it is a sequence , whose elements are cubes of natural numbers.

All these are examples of sequences.

Series: Numbers are written as sum of elements of sequence.

All the above written sequences are said to be series, if these are writing as shown below:

• 1+2+3+4+5+...
• 1+4+7+10+13+...
• 1+2+4+8+...
• 1+4+9+16+25+...
• 1+8+27+64+125+...

Learn more:

1) The sum of first 5 terms of an arithmetic sequence is 60 write the sequence

https://brainly.in/question/19344326

2) Find the missing term in the sequence given below.

12,4 14,7,17,10,?, 13,29

https://brainly.in/question/41603655

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