Chapter 5 · Class 10 CBSE · Worksheet

Arithmetic Progressions Worksheet — Class 10 CBSE Maths

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Sample Questions — Arithmetic Progressions

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following sequences is an Arithmetic Progression (AP)?

A.2, 4, 8, 16, ...
B.1, 4, 9, 16, ...
C.3, 6, 9, 12, ...
D.1/2, 1/3, 1/4, 1/5, ...

Difficulty: Easy

Q2.For an AP, if the first term is 'a' and the common difference is 'd', which of the following statements is INCORRECT?

A.The n-th term is given by a_n = a + (n-1)d
B.The common difference 'd' can be zero.
C.The terms of an AP always increase if 'd' is positive.
D.If a sequence has a constant difference between consecutive terms, it is an AP.

Difficulty: Easy

Q3.A student wrote the first few terms of an AP as 5, 8, 11, 14, ... and concluded that the 10th term is 32. Identify the mistake in their reasoning.

A.The first term 'a' is incorrectly identified.
B.The common difference 'd' is incorrectly calculated.
C.The formula for the n-th term was applied incorrectly.
D.There is no mistake; the 10th term is indeed 32.

Difficulty: Easy

Q4.If the common difference of an AP is 5, what is the value of a_18 - a_13?

A.5
B.25
C.15
D.30

Difficulty: Easy

Q5.Which of the following represents an arithmetic progression where the terms are decreasing?

A.a = 7, d = 3
B.a = -2, d = 5
C.a = 10, d = -2
D.a = 0, d = 0

Difficulty: Easy

Q6.If 2x + 1, x + 3, and 5 are consecutive terms of an AP, what is the value of x?

A.1
B.2
C.3
D.4

Difficulty: Easy

Q7.A gardener plants 15 saplings on the first day, 18 on the second day, 21 on the third day, and so on. If this pattern continues, how many saplings will he plant on the 7th day?

A.27
B.30
C.33
D.36

Difficulty: Easy

Q8.Consider the sequence given by a_n = 3n - 5. Is this an Arithmetic Progression? If so, what is its common difference?

A.Yes, d = 3
B.Yes, d = -5
C.No, it's not an AP
D.Yes, d = -2

Difficulty: Easy

Answer Key — Sample Questions+
Q1:3, 6, 9, 12, ...
Q2:The terms of an AP always increase if 'd' is positive.
Q3:The formula for the n-th term was applied incorrectly.
Q4:25
Q5:a = 10, d = -2
Q6:3
Q7:33
Q8:Yes, d = 3

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About This Worksheet

TopicArithmetic Progressions
BoardCBSE
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Arithmetic Progressions worksheet for Class 10?+
You can download a free Arithmetic Progressions PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Arithmetic Progressions worksheet?+
Each SparkEd worksheet for Arithmetic Progressions contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the Arithmetic Progressions worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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