Sequence And Series JEE Mains Questions - List Of Most Asked Questions With Solutions

NTA will shortly release the JEE Main Syllabus 2025 at jeemain.nta.ac.in. Last Year, the complete syllabus of JEE Main underwent some major changes. According to the latest syllabus guidelines, the weightage of Physics has dropped to 22.5%. Due to these changes in the syllabus, certain shifts in chapter-wise weightage have been observed. Sequence and Series are among such topics. It’s among the least weightage topics in JEE Main Physics Syllabus 2025. This chapter holds 1.39% weightage in the whole syllabus.

• Sequence and Series is a part of the General Physics section, and every year around 2-3 questions are asked from this chapter. Due to the drop in weightage, you can expect 1-2 questions in JEE Main 2025.
• Sequence and Series in JEE Mains Physics Syllabus 2025 covers all the basic concepts on units and measurements, fundamentals of units, dimensions etc.

Aspirants consider Sequence and Series as one of the Easiest Chapters in Physics for JEE Main 2025. Even though this chapter has the least weightage in the syllabus, to develop a strong foundation in physics, this particular chapter plays a pivotal role. Hence the candidates need to develop a clear understanding of this chapter. The list of most asked questions from this chapter will help the students with their preparation.

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Some of the most asked questions in JEE Main on sequence and series include:

• Arithmetic progression (AP) and geometric progression (GP)
• Finding the nth term of a sequence
• Summation of finite and infinite series
• Identifying patterns and solving related problems
• Application of sequences and series in physics, chemistry, and engineering concepts

Sequence and Series JEE Mains Questions -

List Of Most Asked Questions With Solutions

In the (JEE) Main, the topic of Physics and Measurement often features questions that have appeared multiple times in previous years. Many questions in this section are either repeated or follow similar patterns, with only minor changes, such as different numerical values or slight modifications in wording.Certain questions have been repeated as many as five times.

Here are some of the most frequently asked and repeated questions:

Ques.1 The number of common terms in the progressions 4,9, 14,19,......, up to 25th term and 3,6,9,12, up to 37th term is: (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Options:

A. 9

B. 5

C. 7

D. 8

Ques.2 If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P,then the common ratio of the G.P. is equal to: (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2016, JEE Main 2018 )

Options:

A. 7

B. 4

C. 5

D. 6

Ques.3 Let Sa​ denote the sum of first n terms in an arithmetic progression. If S20=790 and S10=145, then S15−S5 is: (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Options:

• A. 395
• B. 390
• C. 405
• D. 410

Ques.4 Let a and b be two distinct positive real numbers. Let the 11th term of a GP, whose first term is aaa and third term is b, is equal to pth term of another GP, whose first term is a and fifth term is b. Then p is equal to: (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Options:

• A. 20
• B. 25
• C. 21
• D. 24

Ques.5 Let 2nd, 8th, and 44th terms of a non-constant A.P. be respectively the 1st, 2nd, and 3rd terms of a G.P. If the first term of A.P. is 1 then the sum of the first 20 terms is equal to: (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Options:

• A. 980
• B. 960
• C. 990
• D. 970

Ques.6 Let 3, a, b, c be in A.P. and 3, a−1, b+1, c+9 be in G.P. Then, the arithmetic mean of a, b and c is: (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Options:

• A. -4
• B. -1
• C. 13
• D. 11

Question7 : If three successive terms of a G.P. with common ratio r(r > 1) are the lengths of the sides of a triangle and [r] denotes the greatest integer less than or equal to r, then 3[r] + [−r] is equal to : (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2019 )

Question 8: The 8 th common term of the series S1 = 3 + 7 + 11 + 15 + 19 + .... S2 = 1 + 6 + 11 + 16 + 21 + ... is _______. (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Ques.9 Let a1=8, a2, a3, ... , ana_nan​ be an A.P. If the sum of its first four terms is 50 and the sum of its last four terms is 170, then the product of its middle two terms is:

(This question has been asked thrice-2023 Shift 2, JEE Main 2020, JEE Main 2016 )

Ques10: The number of 3 digit numbers, that are divisible by either 2 or 3 but not divisible by 7 is _______. (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Answers: 1

Answer 2:

Answer 3: A

Answer 4: C

Ans:5

Ans:6

Ans:7

Ans:8

Ans:9

Ans:10