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CA Foundation Sequence and Series — practice questions

Explore 68 free Sequence and Series questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Sequence and Series questions and exercises with answers

Showing questions 1–30 of 68.

Which sequence has a constant difference between consecutive terms?Read the answer and worked solution →What is the common difference of the sequence 5, 9, 13, 17, ...?Read the answer and worked solution →Find the 10th term of the arithmetic progression 3, 7, 11, ...Read the answer and worked solution →What is the sum of the first 20 natural numbers?Read the answer and worked solution →Pairing the ends of 1, 2, ..., 100 gives pairs summing to 101. Total sum?Read the answer and worked solution →Find the sum of the first 15 terms of the AP 2, 5, 8, ...Read the answer and worked solution →A GP begins 2, 4, 8. What do its first six terms total?Read the answer and worked solution →What is the sum to infinity of the series 8 + 4 + 2 + 1 + ...?Read the answer and worked solution →The reciprocals of 2, 4, 6, 8, ... form a harmonic progression. Its 10th term isRead the answer and worked solution →Which of these sequences is a harmonic progression?Read the answer and worked solution →An AP starts at 7 with common difference -3. Its 4th term isRead the answer and worked solution →An AP has first term 5, last term 41 and common difference 4. How many terms?Read the answer and worked solution →Find the sum 5 + 9 + 13 + ... + 41.Read the answer and worked solution →An infinite geometric series has common ratio 1/3. It willRead the answer and worked solution →In a GP with a negative common ratio, the signs of the termsRead the answer and worked solution →Find the arithmetic mean of 12 and 30.Read the answer and worked solution →The geometric mean of 4 and 25 isRead the answer and worked solution →For two distinct positive numbers, which ordering of the three means holds?Read the answer and worked solution →Two positive numbers have AM 10 and HM 6.4. Their GM isRead the answer and worked solution →The first 12 odd natural numbers add up toRead the answer and worked solution →Adding the first ten even natural numbers givesRead the answer and worked solution →Three numbers in AP have sum 15 and product 105. The largest isRead the answer and worked solution →Three numbers in GP have product 64. The middle number isRead the answer and worked solution →The nth term of a sequence is 3n + 2. Its 12th term isRead the answer and worked solution →Which term of the AP 3, 8, 13, ... equals 78?Read the answer and worked solution →A GP has 3rd term 12 and 6th term 96. Its common ratio isRead the answer and worked solution →A GP has third term 12 and common ratio 2. Its first term isRead the answer and worked solution →Find the sum to infinity of a GP with first term 9 and ratio 1/3.Read the answer and worked solution →The sum to infinity of 0.3 + 0.03 + 0.003 + ... isRead the answer and worked solution →The recurring decimal 0.777... written as a fraction isRead the answer and worked solution →

Worked practice questions

Which sequence has a constant difference between consecutive terms?

  1. Harmonic progression
  2. Geometric progression
  3. Alternating series
  4. Arithmetic progression
Show answer and solution

Correct answer: D. Arithmetic progression

Adding the same fixed amount each step is exactly what defines an arithmetic progression.

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What is the common difference of the sequence 5, 9, 13, 17, ...?

  1. 4
  2. 13
  3. 3
  4. 5
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Correct answer: A. 4

Each term exceeds the one before it by 9 - 5 = 4.

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Find the 10th term of the arithmetic progression 3, 7, 11, ...

  1. 43
  2. 37
  3. 35
  4. 39
Show answer and solution

Correct answer: D. 39

The 10th term is a + 9d = 3 + 9 x 4 = 39.

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More Quantitative Aptitude topics

Time Value of MoneyProbabilityPermutations and CombinationsCorrelation and RegressionRatio and Proportion, Indices and LogarithmsSets, Relations and FunctionsMeasures of Central Tendency and DispersionStatistical Representation of Data and Sampling