Sequences and Series
Maharashtra Board · Class 11 · Mathematics & Statistics
Quick revision notes for Sequences and Series — Maharashtra Board Class 11 Mathematics & Statistics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Sequences and Basic Concepts
- A sequence is an ordered arrangement of numbers following a definite pattern
- Finite sequences have a limited number of terms, infinite sequences continue indefinitely
- The nth term is denoted as tn and represents the general term of the sequence
2. Arithmetic Progression (A.P.)
- In A.P., the difference between consecutive terms is constant (common difference 'd')
- General form: a, a+d, a+2d, a+3d, ...
- The nth term formula helps find any term without listing all previous terms
3. Geometric Progression (G.P.)
- In G.P., the ratio between consecutive terms is constant (common ratio 'r')
- General form: a, ar, ar², ar³, ...
- Common ratio r = tn+1/tn for all values of n
4. Harmonic Progression (H.P.)
- A sequence is in H.P. if reciprocals of its terms form an A.P.
- H.P. has no direct formula for sum of terms
- To work with H.P., convert to A.P. by taking reciprocals
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