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Quadratic Sequences - Using the Quadratic Sequence Formula WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Manipulating expressions. Solving Equations.
Learning Objective: Deduce expressions to calculate the nth term of quadratic sequences.

Quadratic Sequences - Using the Quadratic Sequence Formula WORKSHEET DESCRIPTION

Students will find the nth term of 13 quadratic sequences using the quadratic formula throughout this worksheet.

In Section A, pupils substitute values of n into the formula to derive the simplified quadratic formula and to identify expressions for the first and second common differences. Next, in Section B, these expressions are used alongside the sequences to form and solve equations, determining the values of a, b, and c in the formula, which generates the nth term of each sequence.

The questions feature one decreasing sequence, two sequences whose nth term has a coefficient of n2 greater than 1, and one sequence whose nth term has a fractional coefficient of n2.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Quadratic Sequences - Using the Quadratic Sequence Formula Worksheet suitable for Year 10 and Year 11 students

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Frequently Asked Questions

Students should be confident with manipulating expressions and solving equations before attempting these problems. These algebraic skills are essential as they'll need to form and solve equations to determine the coefficients in the quadratic formula. Without solid foundations in these areas, pupils may struggle with the systematic approach required to find the nth term.