Arithmetic Progressions Practice 2: Sum Of Terms

Practise focused skills from Arithmetic Progressions

MathematicsGrade 10Mixed10 questions20 min

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Section A: Sum Formula Concepts · 5 questionsSection B: Calculate and Check Sums · 5 questions

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

Choose the best answer for each question.

Question 1

EasyQuestion

Why can the sum of an AP be found by pairing terms from the beginning and the end?

Topic: AP Sum · Skill: Derive the sum formula conceptually

Question 2

MediumQuestion

For $2+5+8+11+14$ , which pairing best explains the AP sum idea?

Topic: AP Sum · Skill: Derive the sum formula conceptually

Question 3

EasyQuestion

Find the sum of the first $10$ terms of the AP $3, 7, 11, \ldots$ .

Topic: AP Sum · Skill: Find sum of first n terms

Question 4

MediumQuestion

Find $S_{20}$ for the AP with $a=5$ and $d=3$ .

Topic: AP Sum · Skill: Find sum of first n terms

Question 5

AdvancedQuestion

A student calculates $S_{12}$ for $4,10,16,\ldots$ as $\frac{12}{2}[2(4)+12(6)]$ . What is the error?

Topic: AP Sum · Skill: Find sum of first n terms

Understand and apply AP sum formulas using first, last and nth terms.

Derive the sum formula conceptually, Find sum of first n terms, Use last term in sum formula