Iterative Notation and Arithmetic Sequences WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Arithmetic including decimals, fractions, and directed numbers. Ability to describe and continue arithmetic sequences.
Iterative Notation and Arithmetic Sequences WORKSHEET DESCRIPTION
"Introduce students to iterative notation through describing and generating arithmetic sequences with this worksheet. The problems are designed to challenge students to apply their knowledge in different ways.
In the first question, students are given a series of sequences and are asked to state four key pieces of information: the next term, the first term, the common difference, and the iterative notation. The sequences presented include those with both positive and negative integer common differences.
Following this, the worksheet includes questions that guide students to generate sequences when given the first term and the iterative formula, and then to use any term to either work forwards or backward to generate more terms. The problems progress in difficulty, introducing sequences with fractional and decimal common differences, pushing students to apply their understanding to a wider range of numbers."
In the first question, students are given a series of sequences and are asked to state four key pieces of information: the next term, the first term, the common difference, and the iterative notation. The sequences presented include those with both positive and negative integer common differences.
Following this, the worksheet includes questions that guide students to generate sequences when given the first term and the iterative formula, and then to use any term to either work forwards or backward to generate more terms. The problems progress in difficulty, introducing sequences with fractional and decimal common differences, pushing students to apply their understanding to a wider range of numbers."
