MHT CET PYQs for Sequence and series with Solutions: Practice MHT CET Previous Year Questions

Q: How many questions come from Sequences And Series every year?

In this PDF, the questions are 2 from 2023, 2 from 2020, 6 from 2019 and 1 from 2018. In 2025 and 2026 together the chapter had 0 questions across 33 shifts, which is fewer than 1 in a typical shift.

Q: What kind of questions are asked from Sequences And Series?

Single-correct MCQs. Common ones ask for a term, the sum or the common ratio of a GP or an AP, or a relation between quantities in progression.

Q: What is the best way to practise Sequences And Series PYQs?

Solve the questions from the newest paper first, then the older ones, and finally re-attempt the questions you got wrong.

Q: Can I score full marks from Sequences And Series?

The chapter had no questions in the 2025 and 2026 papers. Learning the nth term and the sum formulas of the AP and the GP is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Q: Does the Sequences And Series PYQ PDF include solutions?

No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

Sequences And Series is a Class 11 chapter in the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Sequences And Series PYQs are:

Geometric progression: terms and sum
Arithmetic progression conditions
Sum of an infinite GP
Recurring decimal as a rational number
Sum of special series

Practising Sequences And Series MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get less than 1 mark per paper by covering Sequences And Series. The chapter recorded 11 questions across the 80 shifts in the data, and none of them came in the 2025 and 2026 papers.

MHT CET Sequences And Series Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2018-2023)	11
Questions in the 2025 and 2026 papers (33 shifts)	0
Questions in the 2018 to 2026 papers (80 shifts)	11
Typical number of Mathematics questions from this topic in one shift	Fewer than 1 out of 50
Marks for each question	2

The PDF holds 11 questions from MHT CET 2023 to 2018, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Sequences And Series PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Sequences And Series PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	0	16	Fewer than 1 out of 50
2025	0	17	Fewer than 1 out of 50
2024	0	18	Fewer than 1 out of 50
2023	2	12	Fewer than 1 out of 50
2022	0	1	Fewer than 1 out of 50

The 2018 to 2021 papers in the PDF add 9 more questions: 2021 had none, 2020 had 2, 2019 had 6, 2018 had 1.

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Sequences And Series PYQs

Every question in this PDF is a single-correct MCQ. Most are on the terms or the sum of a GP or an AP.

Question Style	What it Tests
GP and AP conditions	The relation between x, y and z when three quantities are in G.P. and their reciprocals are in A.P.
Infinite GP	The common ratio when the sum of an infinite GP is 9 and the sum of its first two terms is 5
Terms of a GP	The relation when three numbers are the pth, qth and rth terms of a GP
Special series	The sum of the first 10 terms of the series 9 + 99 + 999 + …
Recurring decimals	The rational form of a recurring decimal number

How to Use the Sequences And Series PYQ PDF for MHT CET

Start with the newest papers in the PDF, 2023 first, because the chapter had no question in 2025 and 2026.
Learn the nth term and the sum formulas for an AP and a GP, and the sum of an infinite GP when |r| < 1.
For series such as 9 + 99 + 999, write each term as a power of 10 minus 1.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Sequences And Series PYQs and MCQs

Source: Qubit Educational Services by IISc Alumnus

Sequences And Series PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Sequences And Series every year?

Ans. In this PDF, the questions are 2 from 2023, 2 from 2020, 6 from 2019 and 1 from 2018. In 2025 and 2026 together the chapter had 0 questions across 33 shifts, which is fewer than 1 in a typical shift.

Ques. What kind of questions are asked from Sequences And Series?

Ans. Single-correct MCQs. Common ones ask for a term, the sum or the common ratio of a GP or an AP, or a relation between quantities in progression.

Ques. What is the best way to practise Sequences And Series PYQs?

Ans. Solve the questions from the newest paper first, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Sequences And Series?

Ans. The chapter had no questions in the 2025 and 2026 papers. Learning the nth term and the sum formulas of the AP and the GP is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Sequences And Series PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for Sequence and series with Solutions: Practice MHT CET Previous Year Questions

Sequences And Series PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Sequences And Series PYQs

How to Use the Sequences And Series PYQ PDF for MHT CET

Video: Sequences And Series PYQs and MCQs

Sequences And Series PYQ for MHT CET Mathematics FAQs

1.
If \( \frac{1}{4}, a, b, \frac{1}{19} \) form a harmonic progression (H.P.), then the values of \( a \) and \( b \) are respectively

2.
The derivative of $\tan^{-1} \left( \frac{\sqrt{1+x^2}-1}{x} \right)$ w.r.t. $\tan^{-1} \left( \frac{2x\sqrt{1-x^2}}{1-2x^2} \right)$ at $x = 0$ is

3.
Evaluate \( \int e^{\tan^{-1} x} \left( 1 + \frac{x}{1 + x^2} \right) dx \)

4.
Bacteria increases at the rate proportional to the number of bacteria present. If the original number \( N \) doubles in \( 4 \) hours, then the number of bacteria will be \( 4N \) in

5.
Number of switches in alternative equivalent simple circuit for the circuit is (are)

6.
Evaluate the sum of the series: \[ \frac{1^2}{2} + \frac{1^2 + 2^2}{3} + \frac{1^2 + 2^2 + 3^2}{4} + \frac{1^2 + 2^2 + 3^2 + 4^2}{5} + \cdots \quad \text{upto 8 terms} \]

7.
$\int_1^e \frac{e^x}{x}(1 + x \log x) dx =$

8.
The micro-organisms double themselves in 3 hours. Assuming that the quantity increases at a rate proportional to itself, then the number of times it multiplies itself in 18 years is

9.
For a sequence \( (t_n) \), if \( s_n = 7(3^n - 1) \), then \( t_n = \)

10.
What is $\int_{0}^{a} \frac{f (a - x)}{f (x) + f (a - x)} d x$ equal to?

11.
If the plane \[ 2x + 3y + 5z = 1 \] intersects the coordinate axes at the points A, B, C, then the centroid of \( \triangle ABC \) is

12.
The sum of first four terms of a G.P. is $160$ and the common ratio is $3$, then the $4^{\text{th}}$ term is

14.
If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.

15.
If the equation \[ kxy + 5x + 3y + 2 = 0 \text{ represents a pair of lines, then } k = \]

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Sequences And Series PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Sequences And Series PYQs

How to Use the Sequences And Series PYQ PDF for MHT CET

Video: Sequences And Series PYQs and MCQs

Sequences And Series PYQ for MHT CET Mathematics FAQs

1.If \( \frac{1}{4}, a, b, \frac{1}{19} \) form a harmonic progression (H.P.), then the values of \( a \) and \( b \) are respectively

2.The derivative of $\tan^{-1} \left( \frac{\sqrt{1+x^2}-1}{x} \right)$ w.r.t. $\tan^{-1} \left( \frac{2x\sqrt{1-x^2}}{1-2x^2} \right)$ at $x = 0$ is

3.Evaluate \( \int e^{\tan^{-1} x} \left( 1 + \frac{x}{1 + x^2} \right) dx \)

4.Bacteria increases at the rate proportional to the number of bacteria present. If the original number \( N \) doubles in \( 4 \) hours, then the number of bacteria will be \( 4N \) in

5.Number of switches in alternative equivalent simple circuit for the circuit is (are)

6.Evaluate the sum of the series: \[ \frac{1^2}{2} + \frac{1^2 + 2^2}{3} + \frac{1^2 + 2^2 + 3^2}{4} + \frac{1^2 + 2^2 + 3^2 + 4^2}{5} + \cdots \quad \text{upto 8 terms} \]

7.$\int_1^e \frac{e^x}{x}(1 + x \log x) dx =$

8.The micro-organisms double themselves in 3 hours. Assuming that the quantity increases at a rate proportional to itself, then the number of times it multiplies itself in 18 years is

9.For a sequence \( (t_n) \), if \( s_n = 7(3^n - 1) \), then \( t_n = \)

10.What is ∫0af(a−x)f(x)+f(a−x)dx equal to?

11.If the plane \[ 2x + 3y + 5z = 1 \] intersects the coordinate axes at the points A, B, C, then the centroid of \( \triangle ABC \) is

12.The sum of first four terms of a G.P. is $160$ and the common ratio is $3$, then the $4^{\text{th}}$ term is

13.Let a→=a1i^+a2j^+a3k^, b→=b1i^+b2j^+b3k^ be three non-zero vectors such that c→ is a vector perpendicular to both a→ and b→. If the angle between a→ and b→ is π6 then |a1b1c1a2b2c2a3b3c3|=?

14.If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.

15.If the equation \[ kxy + 5x + 3y + 2 = 0 \text{ represents a pair of lines, then } k = \]

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1.
If \( \frac{1}{4}, a, b, \frac{1}{19} \) form a harmonic progression (H.P.), then the values of \( a \) and \( b \) are respectively

2.
The derivative of $\tan^{-1} \left( \frac{\sqrt{1+x^2}-1}{x} \right)$ w.r.t. $\tan^{-1} \left( \frac{2x\sqrt{1-x^2}}{1-2x^2} \right)$ at $x = 0$ is

3.
Evaluate \( \int e^{\tan^{-1} x} \left( 1 + \frac{x}{1 + x^2} \right) dx \)

4.
Bacteria increases at the rate proportional to the number of bacteria present. If the original number \( N \) doubles in \( 4 \) hours, then the number of bacteria will be \( 4N \) in

5.
Number of switches in alternative equivalent simple circuit for the circuit is (are)

6.
Evaluate the sum of the series: \[ \frac{1^2}{2} + \frac{1^2 + 2^2}{3} + \frac{1^2 + 2^2 + 3^2}{4} + \frac{1^2 + 2^2 + 3^2 + 4^2}{5} + \cdots \quad \text{upto 8 terms} \]

7.
$\int_1^e \frac{e^x}{x}(1 + x \log x) dx =$

8.
The micro-organisms double themselves in 3 hours. Assuming that the quantity increases at a rate proportional to itself, then the number of times it multiplies itself in 18 years is

9.
For a sequence \( (t_n) \), if \( s_n = 7(3^n - 1) \), then \( t_n = \)

10.
What is $\int_{0}^{a} \frac{f (a - x)}{f (x) + f (a - x)} d x$ equal to?

11.
If the plane \[ 2x + 3y + 5z = 1 \] intersects the coordinate axes at the points A, B, C, then the centroid of \( \triangle ABC \) is

12.
The sum of first four terms of a G.P. is $160$ and the common ratio is $3$, then the $4^{\text{th}}$ term is

14.
If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.

15.
If the equation \[ kxy + 5x + 3y + 2 = 0 \text{ represents a pair of lines, then } k = \]