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📈 Optional Mathematics - Class 10
Lesson 13 · The Sum of n Terms of a Geometric Series

Arithmetic Mean Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10: Sequence and Series

Arithmetic Mean

One mean: (a + b)/2 · n means: d = (b - a)/(n + 1)

What you will be able to do

📖

Define an arithmetic mean

➗

Find one AM between two numbers

📐

Derive d = (b - a)/(n + 1)

🧩

Insert n means between two numbers

⚖️

Find n from a ratio of means

Means are the inside terms

🔹5, 10, 15
Common difference 5
One mean: 10
VS
🔷4, 8, 12, 16, 20
Common difference 4
Three means: 8, 12, 16

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Presenter notes: Today we look at the numbers that sit between the first and last terms of an arithmetic progression. By the end you will be able to fill any number of them in.