Progressions
Telangana Board · Class 10 · Mathematics
Quick revision notes for Progressions — Telangana Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Arithmetic Progressions (A.P.)
- An A.P. is a sequence where each term (except the first) is obtained by adding a fixed number to the preceding term
- The fixed number added is called the common difference (d)
- General form: a, a+d, a+2d, a+3d, ...
Geometric Progressions (G.P.)
- A G.P. is a sequence where each term (except the first) is obtained by multiplying the preceding term by a fixed non-zero number
- The fixed multiplier is called the common ratio (r)
- General form: a, ar, ar², ar³, ...
Real-Life Applications
- A.P. applications: Salary increments, loan repayments, arithmetic patterns in construction
- G.P. applications: Population growth, compound interest, bacterial multiplication
- Many word problems combine A.P. and G.P. concepts
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