Start learning →

Karnataka SSLC (Class 10) Arithmetic Progressions — practice questions

Explore 21 free Arithmetic Progressions questions in Karnataka SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Arithmetic Progressions with Quill →

Arithmetic Progressions questions and exercises with answers

Showing questions 1–21 of 21.

CLASS10 · Mathematics · Arithmetic ProgressionRead the answer and worked solution →A list of numbers in which each term is obtained by adding a fixed number to the preceding term is calledRead the answer and worked solution →For an AP with first term $a$ and common difference $d$, the general form isRead the answer and worked solution →The common difference of the AP $3,\ 7,\ 11,\ 15,\ \ldots$ isRead the answer and worked solution →The formula for the $n$th term of an AP with first term $a$ and common difference $d$ isRead the answer and worked solution →For the AP $5,\ 5,\ 5,\ 5,\ \ldots$ the common difference isRead the answer and worked solution →The 10th term of the AP $2,\ 7,\ 12,\ 17,\ \ldots$ isRead the answer and worked solution →Which term of the AP $3,\ 8,\ 13,\ 18,\ \ldots$ is equal to $78$?Read the answer and worked solution →The sum of the first $n$ terms of an AP is given byRead the answer and worked solution →The sum of the first 20 terms of the AP $1,\ 3,\ 5,\ 7,\ \ldots$ isRead the answer and worked solution →If the first term of an AP is 6 and the common difference is $-3$, the AP isRead the answer and worked solution →How many terms are there in the finite AP $7,\ 13,\ 19,\ \ldots,\ 205$?Read the answer and worked solution →The common difference of an AP whose $n$th term is $a_n = 3n + 2$ isRead the answer and worked solution →The sum of the first $n$ natural numbers $1 + 2 + 3 + \cdots + n$ equalsRead the answer and worked solution →In an AP, the 3rd term is 12 and the 7th term is 24. The first term $a$ and common difference $d$ areRead the answer and worked solution →If the sum of the first $n$ terms of a sequence is $S_n = n^2$, its $n$th term $a_n$ isRead the answer and worked solution →A man's starting salary is ₹8000 with an annual increment of ₹500. His salary in the 6th year isRead the answer and worked solution →The sum $2 + 4 + 6 + \cdots + 100$ (the first 50 even numbers) isRead the answer and worked solution →For the AP $10,\ 7,\ 4,\ \ldots$, the term that first becomes negative is theRead the answer and worked solution →Match each AP termRead the answer and worked solution →Key in the AP answerRead the answer and worked solution →

Worked practice questions

CLASS10 · Mathematics · Arithmetic Progression

Read exercise and reference answers
Matching pairs
  1. Left
    n-th term of an AP
    Right
    a + (n−1)d
  2. Left
    Sum of first n terms
    Right
    n/2 [2a + (n−1)d]
  3. Left
    Common difference d
    Right
    a₂ − a₁
  4. Left
    AP: 2, 5, 8, 11, … d = ?
    Right
    3
  5. Left
    AP: 10, 7, 4, 1, … d = ?
    Right
    −3
  6. Left
    Sum of first n natural numbers
    Right
    n(n+1)/2
Instructions
Match each AP concept to its formula or value.

Open this exercise →

A list of numbers in which each term is obtained by adding a fixed number to the preceding term is called

  1. a geometric progression
  2. a harmonic progression
  3. an arithmetic progression
  4. a Fibonacci sequence
Show answer and solution

Correct answer: C. an arithmetic progression

1. In such a list the difference between any term and the one before it is constant. 2. This list is an **arithmetic progression (AP)**. 3. The fixed number added is called the common difference d. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch1 'Arithmetic Progressions' (definition)_

Open this question →

For an AP with first term $a$ and common difference $d$, the general form is

  1. $a,\ ad,\ ad^2,\ \ldots$
  2. $a,\ a-d,\ a-2d,\ a-3d$ only
  3. $a,\ 2a,\ 3a,\ \ldots$
  4. $a,\ a+d,\ a+2d,\ \ldots$
Show answer and solution

Correct answer: D. $a,\ a+d,\ a+2d,\ \ldots$

1. Each term is the previous term plus the common difference d. 2. Starting from a: a, a+d, a+2d, a+3d, …, which is the **general form of an AP**. 3. (Geometric progressions multiply by a fixed ratio instead.) _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch1 'Arithmetic Progressions' (general form)_

Open this question →

How to practise

  1. Choose a Arithmetic Progressions question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

Binomial TheoremGeometryProbability & StatisticsSequencesSequences and SeriesVectors & 3D GeometryCorrelation and RegressionLinear Programming