Lesson 13 · The Sum of n Terms of a Geometric Series

Arithmetic Sequence Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10

Arithmetic Sequence

Sequence and series · Common difference · The nth term

By the end of this lesson you can

📋

Tell a sequence from a series

➕

Decide whether a sequence is an AP

📏

Find the common difference d

🎯

Use \( t_n = a + (n - 1)d \) to find any term

Patterns that grow

🧱

Pattern (i): 1, 3, 5, 7, 9 blocks. Add 2 each time.

🟦

Pattern (ii): 2, 4, 8, 16, 32 blocks. Double each time.

💡

Both follow a fixed rule, so both are sequences.

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Presenter notes: Today we look at number patterns that grow or shrink by the same amount every time, and we find a formula that gives any term without listing all the ones before it.