Sequences And Series
Mathematics — topic guides, questions, and exam chapters with this tag
Topic guide
Sequences and Series — AP, GP, AGP & Special Sums for Class 11
Arithmetic and geometric progressions, sum of n terms, infinite GP, sum of squares and cubes. NCERT Class 11 Chapter 9 with JEE shortcuts.
Solved questions
Find sum to infinity of 1/2 + 1/4 + 1/8 + ...
Telescoping series — find sum of 1/(1·2) + 1/(2·3) + ... + 1/(n(n+1))
NCERT Class 11
Find sum of first n terms of 1² + 2² + 3² + ... + n²
Find Sum of Series: 1² + 2² + 3² + ... + n² — Special Sum Formula
NCERT Class 11 Chapter 9
Find Sum to Infinity: 1 + 1/2 + 1/4 + ... — Infinite GP Formula
NCERT Class 11 Chapter 9
Sum of GP: 2 + 6 + 18 + ... up to 6 Terms — Geometric Series
NCERT Class 11 Chapter 9
Sum of n Terms of GP — Sₙ = a(rⁿ - 1)/(r - 1)
NCERT Class 11
Solve the recurrence relation aₙ = 3aₙ₋₁ - 2aₙ₋₂ with initial conditions
JEE Advanced 2021
Find the sum of infinite GP: 1 + 1/2 + 1/4 + 1/8 + ...
NCERT Class 11
Find sum to n terms of 1·2 + 2·3 + 3·4 + ... using method of differences
JEE Main 2021