GCSE Maths (AQA)

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Algebra Sequences

Quadratic Sequences

3:40 Arithmetic & Quadratic Sequences
Spec A24
Previous Arithmetic Sequences Next nth Term of a Quadratic Sequence
  • A quadratic sequence has its nth term given by an expression of the form a n squared plus b n plus c
  • The quadratic expression 5 n squared plus 2 n minus 4 can be used to generate a quadratic sequence
  • To find the first term, substitute n equals 1 into the expression
  • To find subsequent terms, substitute the corresponding value of n into the expression
  • The terms in a quadratic sequence can increase rapidly
  • To find the first three terms of a sequence with the nth term given by 2n squared plus 5n minus 6, substitute n equals 1, 2, and 3 into the expression
  • To find the value of A in a quadratic sequence with the nth term given by a n squared minus 4 n plus 2, substitute n equals 5 into the expression and relate it to the given term of 57
  • Solve the resulting equation to find the value of A, which in this case is 3

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