NinetynineCAT Progressions & Series questions 38 since 2017
Across the 24 CAT papers from 2017 to 2025, Progressions & Series was asked 38 times, in 23 of the 24 papers. CAT asks about 1.6 Progressions & Series questions per paper on average; in 2022–2025 it was 1.3 per paper, against 1.7 in the four years before (steady). Below is how often it appeared each year, the ideas CAT keeps reusing, and every question with its answer.
Key facts
- Across the 24 CAT papers from 2017 to 2025, Progressions & Series was asked 38 times, in 23 of the 24 papers.
- Progressions & Series is the 9th most-asked of the 16 CAT QA topics, with 6.2% of all QA questions since 2017.
- CAT asks about 1.6 Progressions & Series questions per paper on average; in 2022–2025 it was 1.3 per paper, against 1.7 in the four years before (steady).
- The heaviest year for Progressions & Series was CAT 2019, with 6 questions across 2 slots.
Counted from all 24 CAT papers 2017–2025 (1,830 questions), one topic tag per question. How we tag.
How many Progressions & Series questions come in CAT each year?
| Year | Questions | Slots that year | Per slot |
|---|---|---|---|
| CAT 2017 | 5 | 2 | 2.5 |
| CAT 2018 | 4 | 2 | 2.0 |
| CAT 2019 | 6 | 2 | 3.0 |
| CAT 2020 | 2 | 3 | 0.7 |
| CAT 2021 | 5 | 3 | 1.7 |
| CAT 2022 | 4 | 3 | 1.3 |
| CAT 2023 | 6 | 3 | 2.0 |
| CAT 2024 | 3 | 3 | 1.0 |
| CAT 2025 | 3 | 3 | 1.0 |
Progressions & Series ideas CAT has repeated
- Common terms of two APs form an AP with difference = LCM 3 questions, 2019–2023
- nth term = S_n − S_(n−1) 3 questions, 2018–2022
- AP problems: write terms as a + (n − 1)d and solve 5 questions, 2017–2025
- Infinite geometric series: a/(1 − r) 5 questions, 2017–2025
All Progressions & Series questions, newest first
CAT 2025
- CAT 2025 Slot 3 · QA Q2 In an arithmetic progression, if the sum of fourth, seventh…
- CAT 2025 Slot 2 · QA Q8 Let a _ n be the n ^ th term of a decreasing infinite…
- CAT 2025 Slot 1 · QA Q4 In the set of consecutive odd numbers 1,3,5, , 57 , there is…
CAT 2024
- CAT 2024 Slot 3 · QA Q17 Consider the sequence t_1=1, t_2=-1 and t_n=((n-3)/(n-1))…
- CAT 2024 Slot 2 · QA Q8 The sum of the infinite series 1/5(1/5-1/7)+(1/5)^2((1/5)^2…
- CAT 2024 Slot 1 · QA Q14 Suppose x_1, x_2, x_3, , x_100 are in arithmetic progression…
CAT 2023
- CAT 2023 Slot 3 · QA Q20 The value of 1+(1+1/3) 1/4+(1+1/3+1/9) 1/16+(1+1/3+1/9+1/27)…
- CAT 2023 Slot 3 · QA Q21 Let a_n=46+8 n and b_n=98+4 n be two sequences for natural…
- CAT 2023 Slot 2 · QA Q20 Let both the series a_1, a_2, a_3, and b_1, b_2, b_3 be in…
- CAT 2023 Slot 2 · QA Q22 Let a_n and b_n be two sequences such that a_n=13+6(n-1) and…
- CAT 2023 Slot 1 · QA Q20 For some positive and distinct real numbers x, y and z , if…
- CAT 2023 Slot 1 · QA Q22 A lab experiment measures the number of organisms at 8 am…
CAT 2022
- CAT 2022 Slot 3 · QA Q17 The average of all 3-digit terms in the arithmetic…
- CAT 2022 Slot 2 · QA Q7 On day one, there are 100 particles in a laboratory…
- CAT 2022 Slot 2 · QA Q19 Consider the arithmetic progression 3,7,11, and let A_n…
- CAT 2022 Slot 1 · QA Q18 For any natural number n , suppose the sum of the first n…
CAT 2021
- CAT 2021 Slot 3 · QA Q16 Consider a sequence of real numbers x_1, x_2, x_3, such that…
- CAT 2021 Slot 2 · QA Q10 Three positive integers x, y and z are in arithmetic… answer only
- CAT 2021 Slot 2 · QA Q20 For a sequence of real numbers x_1, x_2, ..., x_n, if x_1… answer only
- CAT 2021 Slot 1 · QA Q18 The natural numbers are divided into groups as (1), (2, 3… answer only
- CAT 2021 Slot 1 · QA Q22 If x_0 = 1, x_1 = 2, and x_n + 2 = 1+x_n+1x_n , n = 0, 1, 2… answer only
CAT 2020
- CAT 2020 Slot 3 · QA Q1 If x_1 = -1 and x_m = x_m + 1 + (m + 1) for every positive… answer only
- CAT 2020 Slot 2 · QA Q6 Let the m-th and n-th terms of a Geometric progression be… answer only
CAT 2019
- CAT 2019 Slot 2 · QA Q5 Let a_1 , a_2 be integers such that a_1 - a_2 + a_3 - a_4 +… answer only
- CAT 2019 Slot 2 · QA Q28 The number of common terms in the two sequences: 15, 19, 23… answer only
- CAT 2019 Slot 2 · QA Q29 If (2n+1) + (2n+3) + (2n+5) + ... + (2n+47) = 5280 , then… answer only
- CAT 2019 Slot 1 · QA Q10 If the population of a town is p in the beginning of any… answer only
- CAT 2019 Slot 1 · QA Q16 If a_1 + a_2 + a_3 + ... + a_n = 3(2^n+1 - 2), then a_11… answer only
- CAT 2019 Slot 1 · QA Q20 If a_1, a_2, ......... are in A.P , 1/(√(a_1) + √(a_2)) +… answer only
CAT 2018
- CAT 2018 Slot 2 · QA Q5 Let t_1, t_2,… be real numbers such that t_1+ t_2 +... + t_n… answer only
- CAT 2018 Slot 2 · QA Q16 The value of the sum 7 x 11 + 11 x 15 + 15 x 19 + ..... + 95… answer only
- CAT 2018 Slot 1 · QA Q9 Given an equilateral triangle T1 with side 24 cm, a second… answer only
- CAT 2018 Slot 1 · QA Q20 Let x, y, z be three positive real numbers in a geometric… answer only
CAT 2017
- CAT 2017 Slot 2 · QA Q27 Let a_1, a_2, a_3, a_4, a_5 be a sequence of five… answer only
- CAT 2017 Slot 2 · QA Q33 An infinite geometric progression a_1, a_2, a_3,... has the… answer only
- CAT 2017 Slot 2 · QA Q34 If a_1 = 1/(2 × 5) , a_2 = 1/(5 × 8) , a_3 = 1/(8 × 11)… answer only
- CAT 2017 Slot 1 · QA Q31 If the square of the 7^th term of an arithmetic progression… answer only
- CAT 2017 Slot 1 · QA Q34 Let a_1, a_2,.......a_3n be an arithmetic progression with… answer only
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