Math 12 Formulas
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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 ݎିଵ , ݊≥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
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
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