Sequences and Series
ICSE · Class 11 · Mathematics
Flashcards for Sequences and Series — ICSE Class 11 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
Interactive on Super Tutor
Studying Sequences and Series? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
1,000+ Class 11 students started this chapter today
Super Tutor has 10+ illustrations like this for Sequences and Series alone — flashcards, concept maps, and step-by-step visuals.
See them allA sequence has nth term a_n = n^2. Write the first four terms and the corresponding ordered list.
Answer
Step 1: Put n = 1, 2, 3, 4. Step 2: a_1 = 1^2 = 1 Step 3: a_2 = 2^2 = 4 Step 4: a_3 = 3^2 = 9 Step 5: a_4 = 4^2 = 16 Answer: The sequence is 1, 4, 9, 16, ...
Show that the sequence 2, 4, 6, 8, ... is a progression and find its nth term.
Answer
Step 1: Check whether an explicit formula exists. Step 2: The terms are even natural numbers. Step 3: The nth term is a_n = 2n. Answer: It is a progression because the terms can be written by an expli…
Why is 2, 3, 5, 7, 11, ... a sequence but not a progression?
Answer
A progression needs an explicit formula for the nth term. The prime-number sequence is an ordered list, so it is a sequence. A known explicit formula for the nth prime number is not available here, so…
Write the first five terms of the sequence with nth term a_n = (n - 3)/4.
Answer
Step 1: Substitute n = 1, 2, 3, 4, 5. Step 2: a_1 = (1 - 3)/4 = -1/2 Step 3: a_2 = (2 - 3)/4 = -1/4 Step 4: a_3 = (3 - 3)/4 = 0 Step 5: a_4 = (4 - 3)/4 = 1/4 Step 6: a_5 = (5 - 3)/4 = 1/2 Answer: -1/2…
Find the 20th term of the sequence a_n = (n - 1)(2 - n)(3 + n).
Answer
Step 1: Put n = 20. Step 2: a_20 = (20 - 1)(2 - 20)(3 + 20) Step 3: a_20 = 19 × (-18) × 23 Step 4: 19 × 18 = 342, and 342 × 23 = 7866 Step 5: Sign is negative. Answer: a_20 = -7866…
A sequence starts with a_1 = 1 and a_n = a_(n-1) + 2 for n >= 2. Find the first five terms.
Answer
Step 1: a_1 = 1 Step 2: a_2 = a_1 + 2 = 3 Step 3: a_3 = a_2 + 2 = 5 Step 4: a_4 = 7 Step 5: a_5 = 9 Answer: 1, 3, 5, 7, 9…
What is the recursive rule of the Fibonacci sequence?
Answer
The sequence starts with a_1 = 1 and a_2 = 1. For n >= 3, a_n = a_(n-1) + a_(n-2). Example: 1, 1, 2, 3, 5, 8, ...
Find the first six terms of the Fibonacci sequence.
Answer
Step 1: a_1 = 1, a_2 = 1 Step 2: a_3 = 1 + 1 = 2 Step 3: a_4 = 2 + 1 = 3 Step 4: a_5 = 3 + 2 = 5 Step 5: a_6 = 5 + 3 = 8 Answer: 1, 1, 2, 3, 5, 8…
+27 more flashcards available
Practice AllFrequently Asked Questions
What are the important topics in Sequences and Series for ICSE Class 11 Mathematics?
How to score full marks in Sequences and Series — ICSE Class 11 Mathematics?
How many flashcards are available for Sequences and Series?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Sequences and Series
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Sequences and Series chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 11 Mathematics.