Problem Solving with Patterns.pptx - PROBLEM SOLVING WITH PATTERNS TERMS OF A SEQUENCE NUMBER SEQUENCE An ordered list of numbers such as 5 14 27 44

Problem Solving with Patterns.pptx - PROBLEM SOLVING WITH...

This preview shows page 1 - 6 out of 12 pages.

PROBLEM SOLVING WITH PATTERNS TERMS OF A SEQUENCE
Image of page 1
NUMBER SEQUENCE: An ordered list of numbers such as 5, 14, 27, 44, 65, ...is called a sequence . The numbers in a sequence that are separated by commas are the terms of the sequence. It is customary to use the subscript notation a n to designate the n th term of a sequence. That is, a 1 represents the first term of a sequence. a 2 represents the second term of a sequence. a 3 represents the third term of a sequence. a n represents the n th term of a sequence.
Image of page 2
NUMBER SEQUENCE: What is the next term? What formula or rule can be used to generate the terms?
Image of page 3
EXAMPLE: Consider the following sequence A. 5, 14, 27, 44, 65, ... B. 2, 7, 24, 59, 118, 207, ... C. 2, 5, 8, 11, 14, … What would be the next number?
Image of page 4
n th-Term Formula for a Sequence In some cases we can use patterns to predict a formula, called an n th-term formula, that generates the terms of a sequence. As an example, consider the formula an = 3 n^2 + n .
Image of page 5
Image of page 6

You've reached the end of your free preview.

Want to read all 12 pages?

  • Winter '17

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask You can ask ( soon) You can ask (will expire )
Answers in as fast as 15 minutes