Sequences and Series — Class 11 CBSE Mathematics revision notes
A 3-page visual revision sheet for Sequences and Series, written for Class 11 CBSE Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Sequences and Series sheet covers
- Sequence vs series
- Arithmetic progression (AP): a fixed amount added each time
- nth term, first term a, common difference d
- common difference: any term minus the one before it
- sum of the first n terms
- sum, written with the last term l instead of d
- Arithmetic mean
- How AP terms grow
- Geometric progression (GP): a fixed ratio multiplied each time
- nth term, first term a, common ratio r
- common ratio: any term divided by the one before it
- sum of the first n terms, r≠1
- sum to infinity, only when |r|<1
- How GP terms grow, r > 1
- Geometric mean
- AP or GP
- Sum of an AP
- Sum of special series
- Checking a sum-of-squares formula
- Symbols
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Sequences and Series the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.