Linear ( arithmetic) sequences
Aim of the lesson To understand the mathematical nature of linear (arithmetic) sequence and its Nth terms. Lesson's Objectives: By the end of the lesson, students will be able to: 1. Identify what a linear (arithmetic) sequence is and its Nth term. 2. Discover how to find an Nth sequence formula (rule) by using the position of the term and the common difference 3. Generate a sequence from the Nth term.
A linear sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the linear sequence is called the common difference. Examples of linear sequences occur when things change by the same amount each time.
The nth term is a formula that enables us to find any term in a sequence. It refers to the position of a term in a sequence. For example, the first term has n=1, the second term has n=2, the 10th term has n=10 and so on. The ‘n’ stands for its number in the sequence.
How to find an Nth sequence formula by using the position of the term and the common difference.
Generate a sequence from the Nth term.
Scientists have noticed that the Arctic ice sheet is shrinking over time. Suppose that in 2000 the ice sheet area was 7 million square kilometres, and each year it decreases by 0.1 million square kilometres. Write a sequence representing the area of ice cover by year. Find the area of ice cover in 2030.
Linear ( arithmetic) sequences v2
Irina Anatolevana Evans
Created on February 27, 2025
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Transcript
Linear ( arithmetic) sequences
Aim of the lesson To understand the mathematical nature of linear (arithmetic) sequence and its Nth terms. Lesson's Objectives: By the end of the lesson, students will be able to: 1. Identify what a linear (arithmetic) sequence is and its Nth term. 2. Discover how to find an Nth sequence formula (rule) by using the position of the term and the common difference 3. Generate a sequence from the Nth term.
A linear sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the linear sequence is called the common difference. Examples of linear sequences occur when things change by the same amount each time.
The nth term is a formula that enables us to find any term in a sequence. It refers to the position of a term in a sequence. For example, the first term has n=1, the second term has n=2, the 10th term has n=10 and so on. The ‘n’ stands for its number in the sequence.
How to find an Nth sequence formula by using the position of the term and the common difference.
Generate a sequence from the Nth term.
Scientists have noticed that the Arctic ice sheet is shrinking over time. Suppose that in 2000 the ice sheet area was 7 million square kilometres, and each year it decreases by 0.1 million square kilometres. Write a sequence representing the area of ice cover by year. Find the area of ice cover in 2030.