Math 12 Formulas

10.1 Formulas 1.sum and Series Infinite Seq: a1,a2,a3,a4,……an….. Sum of terms: a1+a2+a3+….+an+…. Finite Series: a1+a2+a3+….an. 2.10.2 Arithmetic Sequence ܽ௡ = ܽଵ + ݀, ܿ‫݁ܿ݊݁ݎ݂݁݅݀ ݊݋݉݉݋‬, ݊ ≥1 Nth term of Arith-Seq: ܽ௡ = ܽଵ + ሺ݊ − 1ሻ݀, ݊ ≥1, ݀ = ܽଶ − ܽଵ Sum of the first n term: ݊ ‫ݏ‬௡ = ሺܽଵ + ܽ௡ ሻ 2 10.3 Geo-Seq & n term: . nth term of a Geo.Seq ‫ݐ‬௡ = ܽଵ ‫ ݎ‬௡ିଵ , ݊≥1 Sum of first n terms: ௔ ሺଵି௥ ೙ ሻ

‫ݏ‬௡ = భ ଵି௥ , ‫ ≠ ݎ‬1 Sum of infinite Geo-Series: ௔భ ‫ݏ‬ஶ = ଵି௥ , -1
Ellipse: ‫ݔ‬ଶ ‫ݕ‬ଶ + =1 ܽଶ ܾ ଶ Hyperbolas: ‫ݔ‬ଶ ‫ݕ‬ଶ − =1 ܽଶ ܾ ଶ