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SNAP Series and Progressions Questions 2026
The Quantitative, Data Interpretation and Data Sufficiency section of the SNAP exam 2026 tests your command of core maths concepts, your calculation speed and how quickly you can choose the right approach. Series and Progressions is a high-scoring topic in this section. It also links to other Quant areas such as algebra, number system and even data interpretation.
Many students find Series and Progressions questions confusing because they mix several ideas: arithmetic progressions (AP), geometric progressions (GP), harmonic progressions (HP), special series and number patterns. However, most SNAP questions on this topic are direct and can be solved in under a minute once you know the right formula. The real challenge is spotting whether a question is about an AP, a GP or a pattern, not the calculation itself.
SNAP is a speed-based exam, so you need to solve these questions quickly and accurately. Practising a wide range of questions helps you recognise common patterns, such as nth term, sum of n terms and missing-number series, and saves valuable time in the exam.
Aim to solve at least 10 to 15 Series and Progressions questions daily, mixing easy, moderate and tricky ones, so you are ready for any question type on exam day.
SNAP Series and Progressions Questions PDF
A well-structured SNAP Series and Progressions Questions PDF brings all the important questions together, so you don't have to search through multiple sources during revision.
A good PDF should cover previous-year SNAP questions, expected questions, concept-wise practice sets on AP, GP, HP and special series, and step-by-step solutions. The solutions matter most, because they show you the fastest method and help you build your own shortcuts.
Use the PDF for timed practice. Set a fixed time for each set, then review every wrong answer and note whether the mistake came from a formula gap, a calculation slip or misreading the question. This habit will help you avoid repeating the same errors in the actual SNAP exam.
How to Solve These Top 20 SNAP Series and Progressions Questions
Master the AP formulas: The nth term is a + (n − 1)d and the sum of n terms is n/2 × [2a + (n − 1)d]. If the sum is given as a function of n, the nth term is Sₙ − Sₙ₋₁.
Learn the GP formulas: The nth term is arⁿ⁻¹ and the sum of n terms is a(rⁿ − 1)/(r − 1). For an infinite GP with |r| < 1, the sum is a/(1 − r). Dividing two terms of a GP removes a and gives r directly.
Use the middle-term trick: For three numbers in AP, take them as a − d, a, a + d. For three numbers in GP, take them as a/r, a, ar. This cancels terms instantly when the sum or product is given.
Know the AM, GM and HM relations: AM = (a + b)/2, GM = √ab and HM = 2ab/(a + b). For two positive numbers, AM ≥ GM ≥ HM and GM² = AM × HM. An HP is simply an AP of reciprocals.
Remember the special sums: Σn = n(n + 1)/2, Σn² = n(n + 1)(2n + 1)/6 and Σn³ = [n(n + 1)/2]². Series like 1/(1·2) + 1/(2·3) + … collapse quickly using the telescoping form 1/k − 1/(k + 1).
Spot number series patterns fast: Check differences first, then second differences, then ratios. Look for squares, cubes, n² ± 1, n(n + 1), ×2 + 1 and alternating patterns, which cover most SNAP missing-number and wrong-number questions.
Analyse your mistakes regularly: Keep a short error log. Progression errors often repeat, such as using n instead of (n − 1), mixing up the first term, or missing a second valid value of n.
Question 1
What is the value of $$S = \frac{1}{1 \times 3 \times 5} + \frac{1}{1 \times 4} + \frac{1}{3 \times 5 \times 7} + \frac{1}{4 \times 7} + \frac{1}{5 \times 7 \times 9 } + \frac{1}{7 \times 10}+.....$$upto 20 terms, then what is the value of S?
correct answer:- 2
Question 2
There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. Determine the number of horizontal layers in the pile?
correct answer:- 2
Question 3
The value of the following sum of terms $$\frac{5}{2^2 \cdot 3^2}+\frac{7}{3^2 \cdot 4^2}+\frac{9}{4^2 \cdot 5^2}+\frac{11}{5^2 \cdot 6^2}+\frac{13}{6^2 \cdot 7^2}+\frac{15}{7^2 \cdot 8^2}$$
correct answer:- 2
Question 4
The sum of $$n-$$ terms of sequence $$\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}.......$$ is
correct answer:- 4
Question 5
The sum of a given infinite geometric progression is 80 and the sum of its first two terms is 35. Then the value of n for which the sum of its first n terms is closest to 100, is
correct answer:- 2
Question 6
The sum of the infinite series $$\cfrac{1}{5}\left(\cfrac{1}{5} - \cfrac{1}{7}\right) + \left(\cfrac{1}{5}\right)^2 \left(\left(\cfrac{1}{5}\right)^2 - \left(\cfrac{1}{7}\right)^2\right) + \left(\cfrac{1}{5}\right)^3 \left(\left(\cfrac{1}{5}\right)^3 - \left(\cfrac{1}{7}\right)^3\right) + ......$$ is equal to
correct answer:- 2
Question 7
The sum of two numbers is 15 and their gemetric mean is 20% lower than their arithmetic mean. Find the numbers.
correct answer:- 3
Question 8
Find the 1st term of an A. P whose 8th and 12th terms are 39 and 59 respectively
correct answer:- 2
Question 9
Find the 15th term of the sequence 20, 15, 10, ........
correct answer:- 3
Question 10
The sum up to 10 terms of the series 1.3 + 5.7 + 9.11 + ... is ____________
correct answer:- 5310
Question 11
The sum of the first 24 terms of an AP is $$\frac{12504}{25}$$ and the sum of the next 24 terms is $$\frac{17112}{25}$$. What is the $$3^{rd}$$ terms?
correct answer:- 2
Question 12
If in a GP, the sum of the first 18 terms is equal to the sum of first 22 terms and the sum of the first 19 terms is 65, then what will be the sum of first 4 terms? (Note: $$i = \sqrt{-1}$$)
correct answer:- 2
Question 13
Find the value of $$\dfrac{1}{4 \times 5} + \dfrac{1}{5 \times 6} + \dfrac{1}{6 \times 7} + ....... + \dfrac{1}{10 \times 11}$$:
correct answer:- 3
Question 14
In series 2, 6, 18, 54 ........, what will be the $$8^{th}$$ term?
correct answer:- 2
Question 15
In a triangular shaped bus station, there is space for 279 buses in the first row, 277 in the second, 275 in the third and so on. There is space for 5 buses in the last row. How many rows are there in the bus station?
correct answer:- 1
Question 16
If the resulting numbers be the consecutive terms of Harmonic Progression, then what number should be added to the numbers 8, 10, 14?
correct answer:- 2
Question 17
Find the sum of infinity of the series
$$\frac{1}{5} + \frac{3}{5^2} + \frac{1}{5^3} + \frac{3}{5^4} + .....$$
correct answer:- 3
Question 18
The third and the fifth terms of a geometric progression are respectively the second and the eighth terms ofan arithmetic progression whosefirst term and the common difference are both equal to 16. The first term of the geometric progression is
correct answer:- 3
Question 19
Find the $$12^{th}$$ term of the progression $$S_n$$, where $$S_n = 1 + 3 + 7 + 13 + 21 + 31 + 43....$$
correct answer:- 4
Question 20
If $$6^{th}$$ term and $$13^{th}$$ term of a geometric progression are 24 and $$\frac{3}{16}$$ respectively, then the $$25^{th}$$ term is
correct answer:- 4
