Define a progression by using specific definite rule and pattern
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Answer:
Sequences are a set of numbers, which are arranged according to any specific rule. The set of numbers should have a definite, logical rule according to which they are arranged. It need not be a mathematical formula, but it should be logical. Such a set of numbers are called a sequence of numbers.
For example: {2, 3, 5, 7, 11, 13, 17} is a sequence. Here, rule is: Prime numbers
A series is a sequence of numbers that is added by + signs. The word 'series' is said to represent the sum of the numbers, and not the sum itself.
For example: The series associated with the sequence of first 6 odd numbers is:
{3+5+7+9+11+13}
Progressions are sets of numbers which are arranged according to some definite rule. The difference between a progression and a sequence is that a progression has a specific formula to calculate its nth term, whereas a sequence can be based on a logical rule like 'a group of prime numbers'.
For example: {2, 4, 6, 8, 10} is a progression. Its nth term is 2n.
hope it helps!:)
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