Arithmetic Progressions Practice 1: Patterns And Nth Term

Practise focused skills from Arithmetic Progressions

MathematicsGrade 10Mixed10 questions20 min

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Focus question style

Section A: AP Basics · 5 questionsSection B: nth Term and Missing Values · 5 questions

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Section A: AP Basics

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

Which sequence is an arithmetic progression?

Topic: AP Basics · Skill: Identify arithmetic progressions

Question 2

MediumQuestion

A student says $3,6,12,24$ is an AP because the numbers increase. What is the mistake?

Topic: AP Basics · Skill: Identify arithmetic progressions

Question 3

EasyQuestion

For the AP $12, 9, 6, 3, \ldots$ , what are the first term and common difference?

Topic: AP Basics · Skill: Find first term and common difference

Question 4

MediumQuestion

The table shows an AP: term number $n$ : $1,2,3,4$ ; term value: $7,11,15,19$ . What is $d$ ?

Topic: AP Basics · Skill: Find first term and common difference

Question 5

MediumQuestion

Find the $15$ th term of the AP $4, 9, 14, \ldots$ .

Topic: AP Terms · Skill: Find the nth term of an AP

What this assignment covers

Identify APs, find common difference, and use the nth-term formula.

Skills and sections

Identify arithmetic progressions, Find first term and common difference, Find the nth term of an AP, Find a missing term number, Find missing first term or common difference

Section A: AP Basics: 5 questions
Section B: nth Term and Missing Values: 5 questions