Number Sequences in MYP Year 5 Standard Maths
Learn arithmetic sequences and nth term formulas in MYP Year 5 Standard Maths. Includes pattern recognition, common mistakes, and exam guidance.
Introduction to Sequences in MYP Year 5
A sequence is an ordered list of numbers following a rule. In this first sequences topic at Standard level, the focus is on arithmetic sequences — sequences where each term differs from the previous by a constant amount called the common difference.
Arithmetic Sequences
Identifying the Pattern
Given a sequence such as 4, 7, 10, 13 …, students identify the first term (a = 4) and the common difference (d = 3). This pattern recognition is the starting point for all further sequence work.
The nth Term Formula
The general term of an arithmetic sequence is: Tn = a + (n − 1)d
Students use this to find any specific term without listing every term before it, and to find the position of a term given its value.
Finding Missing Terms
Some problems give non-consecutive terms and ask students to find the common difference or fill in gaps. These require setting up and solving simple equations using the nth term formula.
Pattern Recognition Beyond Numbers
Sequences in MYP often arise from geometric or real-world patterns — for example, the number of tiles in a growing shape or the total cost after each additional unit. Students must identify the underlying arithmetic rule even when the sequence is presented visually or contextually.
Common Errors
- Using n instead of (n − 1) in the nth term formula, shifting every result by one term
- Assuming all sequences are arithmetic without verifying the common difference is constant
- Calculating the 10th term by finding T₁₀ = 10d instead of a + 9d
Assessment Notes
Criterion A problems test the ability to find nth terms and specific values. Criteria C and D may ask students to model a real situation with a sequence and interpret their results — for example, explaining what the 20th term represents in context.