CAT Progressions questions with solutions
Arithmetic, geometric and related sequences and series. 29 questions from our 2016–2025 CAT pattern papers. Each has the answer and a full solution.
CAT 2025
CAT 2024
CAT 2022
CAT 2021
CAT 2020
- The sum of the first n terms of an arithmetic progression is 3n² + 5n for every positive integer n.
- How many terms are common to the arithmetic progressions 3, 7, 11, …, 407 and 2, 9, 16, …, 709?
- Find the sum of the infinite series 1 + 2/3 + 3/9 + 4/27 + 5/81 + …
- The sum of the first n terms of an arithmetic progression is 3n² + 5n for every n. What is its 15th term?
- A sequence is defined by a₁ = 1 and aₙ₊₁ = aₙ + 2n for n ≥ 1. What is a₂₀?
CAT 2019
CAT 2018
- The sum of the first n terms of an arithmetic progression is 2n² + 7n. What is its 20th term?
- What is the first term of the progression?
- What is the sum of all three-digit natural numbers that leave a remainder of 2 when divided by 7?
- An infinite geometric progression has sum 20, and the sum of the squares of its terms is 100. What is its first term?
CAT 2017
- How many terms are common to the two arithmetic progressions 3, 7, 11, …, 407 and 2, 9, 16, …, 709?
- The sum of the first n terms of an arithmetic progression is 3n² + 5n for every natural number n.
- The sum of an infinite geometric progression with positive terms is 20, and the sum of the squares of its terms is 100. What is the first term of the…
- Which term of the progression is 152?
- What is the first term?
CAT 2016
- The sum of the first n terms of an arithmetic progression is 3n² + 5n. What is its 15th term?
- A sequence is defined by a₁ = 2 and aₙ₊₁ = 3aₙ − 2 for n ≥ 1. Find a₁ + a₂ + a₃ + a₄ + a₅.
- The sum of the first n terms of an arithmetic progression is 3n² + 5n. What is its 12th term?
- An infinite geometric progression with positive first term has sum 20, and the sum of the squares of its terms is 100. What is its first term?
Other Quant topics
Time, Speed and Distance 38Time and Work 23Pipes and Cisterns 11Simple and Compound Interest 33Profit, Loss and Discount 42Mixtures and Alligation 35Ratio and Partnership 17Percentages 30Averages 19Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Remainders and Divisibility 15Number System 19Coordinate Geometry 29Triangles 24Circles 18Polygons and Quadrilaterals 12Mensuration 13