1. Home
  2. >Algebra
  3. >Sequences and Series
Help

Quadratic sequences

?
Intros
Lessons
  1. Quadratic Sequences Overview:
  2. What are quadratic sequences?
  3. nth term for quadratic sequences
  4. How to find the nth term
?
Examples
Lessons
  1. Identifying the a,b,c's
    The nth term of a quadratic sequence is always in the form:
    an2+bn+can^{2}+bn+c

    For each following quadratic expressions, find the values of a, b, c. Then list the first three terms of the sequence:
    1. 3n2+2n+73n^{2}+2n+7
    2. −2n2+4n−2-2n^{2}+4n-2
    3. n23−n\frac{n^{2}}{3}-n
  2. Finding the second common difference
    Find the second common difference of the following sequence:
    3, 13, 27, 45, 67, ...
    1. Find the second common difference of the following sequence:
      1, 5, 15, 31, 53, ...
      1. Finding the nth term
        Find the nth term of the following quadratic sequence:
        8, 11, 16, 23, ...
        1. Find the nth term of the following quadratic sequence:
          7, 16, 27, 40, ...