the quadratic sequence, Exercises of Mathematics

higher mathematic papers the quadratic sequence

Typology: Exercises

2025/2026

Uploaded on 06/19/2026

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Quadratic Sequence Formula
A quadratic sequence has a general term of the form:
u_n = an² + bn + c
Where:
• a, b, and c are constants
• n is the position in the sequence
Method to find the formula:
1. Find the second difference of the sequence.
2. a = (second difference) ÷ 2.
3. Use the first terms to solve for b and c.
4. Substitute into u_n = an² + bn + c.

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Quadratic Sequence Formula

A quadratic sequence has a general term of the form:

u_n = an² + bn + c

Where:

  • a, b, and c are constants
  • n is the position in the sequence

Method to find the formula:

  1. Find the second difference of the sequence.
  2. a = (second difference) ÷ 2.
  3. Use the first terms to solve for b and c.
  4. Substitute into u_n = an² + bn + c.