Introduction to Common Sequences: Triangular, Square, and Cube Numbers

Introduction to Common Sequences: Triangular, Square, and Cube Numbers

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial introduces three common types of sequences: triangular numbers, square numbers, and cube numbers. It explains how these sequences are derived from geometric patterns. Triangular numbers are visualized using snooker balls arranged in a triangle, square numbers are explained through geometric squares, and cube numbers are illustrated by building cubes. The tutorial emphasizes recognizing these sequences and understanding their patterns.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the sequence of triangular numbers derived from?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the total number of balls in a triangle with multiple rows?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for the n-th term of square numbers?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how cube numbers are formed.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

List the three specific types of sequences discussed in the text.

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