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π
π Algebra
Arithmetic & Geometric Progressions
AP: common difference; GP: common ratio; formulas for nth term and sum β essential for finance and science
Greece π 300 BC Algebra
Key Facts
- 1
AP: a, a+d, a+2dβ¦; nth term = a+(n-1)d; Sum = n/2[2a+(n-1)d]
- 2
GP: a, ar, arΒ²β¦; nth term = ar^(n-1); Sum (finite) = a(r^nβ1)/(rβ1)
- 3
Applications: compound interest (GP), loan EMIs (AP), depreciation, population growth (GP)
π’ Did you know? Compound interest is a Geometric Progression β Einstein called compound interest "the 8th wonder of the world" and the most powerful force in the universe
Quick Reference
Category
Algebra
Country
π Greece
Year / Era
300 BC
About
AP: common difference