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Maharashtra SSC (Class 10) Arithmetic & Geometric Progressions — practice questions

Explore 20 free Arithmetic & Geometric Progressions questions in Maharashtra SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Arithmetic & Geometric Progressions questions and exercises with answers

Showing questions 1–20 of 20.

An arithmetic progression is a sequence in which the difference between consecutive terms isRead the answer and worked solution →The nth term of an AP with first term a and common difference d isRead the answer and worked solution →The common difference of 3, 7, 11, 15, ... isRead the answer and worked solution →If a = 2 and d = 5, the third term of the AP isRead the answer and worked solution →The 15th term of the AP 5, 9, 13, ... isRead the answer and worked solution →Which term of 4, 9, 14, ... equals 89?Read the answer and worked solution →Sum of the first n terms of an AP equalsRead the answer and worked solution →Sum of the first 20 natural numbers 1, 2, ..., 20 isRead the answer and worked solution →If the 10th term of an AP is 31 and first term is 4, common difference isRead the answer and worked solution →First negative term of the AP 121, 117, 113, ... is theRead the answer and worked solution →Sum of first 50 terms of the AP 2, 5, 8, ... isRead the answer and worked solution →How many terms of the AP 1, 4, 7, ... sum to 287?Read the answer and worked solution →If 4th term is 11 and 9th term is 26, first term isRead the answer and worked solution →Sum of an AP with first term 7, last term 47 and 9 terms isRead the answer and worked solution →Middle term of the AP 1, 5, 9, ..., 49 isRead the answer and worked solution →Sum of all natural numbers between 100 and 200 divisible by 7 isRead the answer and worked solution →If a_n = 3 n + 5, the first three terms areRead the answer and worked solution →If sum of an AP is 100 and a = 5, l = 15, number of terms isRead the answer and worked solution →How many three-digit numbers are divisible by 6?Read the answer and worked solution →If S_n = n^2 + 3 n, then first term and common difference areRead the answer and worked solution →

Worked practice questions

An arithmetic progression is a sequence in which the difference between consecutive terms is

  1. A constant
  2. Doubling each time
  3. Squared each time
  4. Always negative
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Correct answer: A. A constant

1. AP means an arithmetic progression. 2. Consecutive terms have a fixed difference d. 3. If terms are a1, a2, a3, ... then a2 - a1 = a3 - a2 = d. 4. So option A is correct. _Source: Selina Concise Mathematics Class 10, Ch on Arithmetic Progression (Mistral OCR'd PDF), section on definition_

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The nth term of an AP with first term a and common difference d is

  1. a + n * d directly
  2. a + (n - 1) d
  3. a * d to the power (n - 1)
  4. a / (n - 1) when n > 1
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Correct answer: B. a + (n - 1) d

1. The second term adds d once to a. 2. The nth term adds d a total of (n - 1) times. 3. So a_n = a + (n - 1) d. 4. Hence option A is correct. _Source: Selina Concise Mathematics Class 10, Ch on Arithmetic Progression (Mistral OCR'd PDF), section on nth term_

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The common difference of 3, 7, 11, 15, ... is

  1. 5
  2. 3
  3. 4
  4. 7
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Correct answer: C. 4

1. Compute the difference between consecutive terms. 2. 7 - 3 = 4. 3. 11 - 7 = 4 and 15 - 11 = 4 confirm. 4. So d = 4. _Source: Selina Concise Mathematics Class 10, Ch on Arithmetic Progression (Mistral OCR'd PDF), section on common difference_

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