Class 11 Maths
Sequences and Series
Question 1:
In an AP, if mth term is n and the nth term is m, where m ≠ n, find the pth term.
Question 2:
A man saved Rs. 66000 in 20 years. In each succeeding year after the first year, he saved Rs. 200 more than what he saved in the previous year. How much did he save in the first year?
Question 3:
A carpenter was hired to build 192 window frames. The first day he made five frames and each day, thereafter he made two more frames than he made the day before. How many days did it take him to finish the job?
Question 4:
If 2x, x + 8, 3x + 1 are in A.P, then what is the value of x?
Question 5:
Find the sum of the series (33 – 23) + (53 – 43) + (73 – 63) + … to n terms.
Question 6:
If 9 times the 9th term of an A.P. is equal to 13 times the 13th term, then find the 22nd term of the A.P.
Question 7:
Write the first five terms of the sequences whose nth term is an = n *
Question 8:
If Tn denotes the nth term of the series 2 + 3 + 6 + 11 + 18 + …, then T50 is ____.
Question 9:
In an A.P. if pth term is 1q and qth term is1p
, prove that the sum of first pq terms is
, where p ≠ q. where p ≠ q.
Question 10:
If x, 2y and 3z are in A.P. where the distinct numbers x, y and z are in G.P., then find the common ratio of the G.P.
Question 11:
The sums of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the ratio of their 18th terms.
Question 12:
Find the sum to n terms of the sequence: 3, 33, 333, 3333, ......
Question 13:
In a G.P., the 3rd term is 24 and the 6th term is 192. Find the 10th term.
Question 14:
If a, b, c are in GP then log an, log bn, log cn are in _____.
Question 15:
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
Question 16:
The sum of n terms of the series +
+
+ …… is _____.
Question 17:
The first term of a GP is 1. The sum of the third term and fifth term is 90. The common ratio of GP is ______.
Question 18:
Find the value of n so that may be may be the geometric mean between a and b.
Question 19:
Find the sum to n terms of the series 3 * 8 + 6 * 11 + 9 * 14 +........
Question 20:
Find the sum to n terms of the series whose nth term is n(n + 3).
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In summary, problem-solving after learning a theoretical concept on CBSE Sequences and Series Class 11 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 Class 11 Maths Sequences and Series NCERT Chapter 8
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 Class 11 Maths Sequences and Series NCERT Chapter 8 useful.
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