Cheap Wholesale NFL Jerseys - Understanding Notations for Sequences

Understanding Notations for Sequences

By Mark Zegarelli

Understanding sequences is an important first step toward understanding series. The simplest notation for defining a sequence is a variable with the subscript n surrounded by braces. For example:

Three mathematical sequences.

You can reference a specific term in the sequence by using the subscript:

Referencing specific terms in a sequence by using the subscript.

Make sure you understand the difference between notation with and without braces:

  • The notation {an} with braces refers to the entire sequence.

  • The notation an without braces refers to the nth term of the sequence.

When defining a sequence, instead of listing the first few terms, you can state a rule based on n. (This is similar to how a function is typically defined.) For example:

Three sequences defined with a rule based on n

Sometimes, for increased clarity, the notation includes the first few terms plus a rule for finding the nth term of the sequence. For example:

Mathematical sequences including the first few terms plus a rule for finding the nth term

This notation can be made more concise by appending starting and ending values for n:

Sequences with appending starting and ending values.

This last example points out the fact that the initial value of n doesn’t have to be 1, which gives you greater flexibility to define a number series by using a rule.

Don’t let the fancy notation for number sequences get to you. When you’re faced with a new sequence that’s defined by a rule, jot down the first four or five numbers in that sequence. After you see the pattern, you’ll likely find that a problem is much easier.

                                      1. 4746501967 2018-02-25
                                      2. 5211931966 2018-02-25
                                      3. 5936601965 2018-02-25
                                      4. 9856451964 2018-02-25
                                      5. 5824971963 2018-02-25
                                      6. 6308961962 2018-02-25
                                      7. 3055971961 2018-02-25
                                      8. 7451961960 2018-02-25
                                      9. 2458921959 2018-02-25
                                      10. 1955001958 2018-02-25
                                      11. 6433701957 2018-02-25
                                      12. 744321956 2018-02-25
                                      13. 3545931955 2018-02-24
                                      14. 4244531954 2018-02-24
                                      15. 7574311953 2018-02-24
                                      16. 5343791952 2018-02-24
                                      17. 3464581951 2018-02-24
                                      18. 5317271950 2018-02-24
                                      19. 7054671949 2018-02-24
                                      20. 2122831948 2018-02-24
                                      21. cheap jerseys | wholesale jerseys |