JEE Maths
Sequence and Series
Question 1:
If and
are in A.P. then the value of
is [Level: Moderate]
(a) 0
(b) -1
(c) 3
(d) None of these
Question 2:
Three numbers are in A.P., such that their sum is 24 and sum of their squares is 242.The smallest number is [Level: Easy]
(a)
(b) 5
(c)
(d) none
Question 3:
. If 100
, then is equal to [Level: Difficult]
(a) 99
(b) 19
(c) 200
(d) 199
Question 4:
Harmonic mean of the equation x2-2+7x+4+27 is _____ [Level: Easy]
Question 5 :
If a1,a2,a3,a4,a5 are in HP, then a1a2+a2a3+a3a4+a4a5
is equal to [Level: Moderate]
(a) 2a1a5
(b) 3a1a5
(c) 4a1a5
(d) 6a1a5
Question 6:
The sum of first 20 terms of the sequence is …[Level: Moderate]
(a)
(b)
(c) ..
(d)
Question 7:
Consider the sequence ,the the value of
is _____ [Level: Moderate]
Question 8:
The minimum value of the quantity where
[Level: Easy]
(a)
(b)
(c)
(d)
Question 9:
The sum of the first 10 terms of the A.P. is four times the sum of the first five terms, the ratio to the first term to the common difference is . [Level: Easy]
(a)
(b)
(c)
(d)
Question 10:
If ,… are in HP and
,then
are in where
[Level: Difficult]
(a) AP
(b) HP
(c) GP
(d) None of these
Question 11:
If the sum to n terms of the series
[Level: Difficult]
(a)
(b)
(c)
(d)
Question 12:
If |x| >1 then sum of the series
Then the value of is __________ . [Level: Difficult]
Question 13:
The number of terms common between the two series
up to 50 terms and the series upto 30 terms [Level: Moderate]
(a) 21
(b) 20
(c) 30
(d) 18
Question 14:
Let are in A.P. if
and
, then the value of
is ______. [Level: Moderate]
Question 15:
If then find the sum of the series
[Level: Easy]
(a) 2
(b) 3
(c) 5
(d) 7
Question 16:
If the length of the sides of a right triangle are in A.P. ,then the sines of the acute angle are [Level: Moderate]
(a)
(b)
(c)
(d)
Question 17:
If nth term of the sequence is given by is the greatest term, then n [Level: Moderate]
(a) 2006
(b) 2007
(c) 2009
(d) 2008
Question 18:
The sum terms of the series [Level: Difficult]
(a)
(b)
(c)
(d)
Question 19:
The value of x satisfying the equation
lies in the interval
[Level: Moderate]
(a) (95,100)
(b) (100,105)
(c) (110,115)
(d) (120,125)
Question 20:
Consider decreasing G.P. : such that
and
then which of the following does not hold? [Level: Moderate]
(a) The greatest term of G.P. is 9
(b)
(c)
(d)
**********
In summary, problem-solving after learning a theoretical concept on CBSE Sequence and Series JEE Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.
You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.
Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.
All About Daily Practice Problems on JEE Maths Sequence and Series NCERT Chapter 9
Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Sequence and Series NCERT Chapter 9 useful.
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