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#Educational Updates #🎓జాబ్ ప్రిపరేషన్📚 #📖ఎడ్యుకేషన్✍ #💼TSPSC/ APPSC ప్రత్యేకం #🏆పోటీ పరీక్షల స్పెషల్
Educational Updates - Measurement Financial Mathematics Arc Length (angle in degrees) Compound interest 09 X 2Tr P(1+r)" A= [ ೦ೆಕ   360 SEQUENCESAND SERIES AREA Sector (angle in Arithmetic sequencel Trapezium degrees) n-1)d Tn =a + h (a + b)  X TT? A= A= 2 360% Arithmetic series SURFACE AREA "[2+(n -1)4] Sn Sphere 2(+1) Cylinder 2Ttr? + 2Ttrh 4712 A= A = Geometric sequence T=arn~1 VOLUME 11 Geometric series Pyramid Cone Sphere where A= base area $, = 9(1-+"),1#1 V=4 773 1 7 3 1= Ah 3 a(r" _1) 1#1 1 [ Logarithmic & Exponential Functions Geometric series loga` ax=r=r= alogal a(1 - r"). r #1 Sn ~ಕ   [ a(r" -1) logশ logox " 1080` [ 0 Limiting sum of geometric series etlna 0 - 0 , ||<1 $ -1-+_> Logarithmic & Exponential Functions MAGIC logar loga ==0 01 1 erlna 0 S Measurement Financial Mathematics Arc Length (angle in degrees) Compound interest 09 X 2Tr P(1+r)" A= [ ೦ೆಕ   360 SEQUENCESAND SERIES AREA Sector (angle in Arithmetic sequencel Trapezium degrees) n-1)d Tn =a + h (a + b)  X TT? A= A= 2 360% Arithmetic series SURFACE AREA "[2+(n -1)4] Sn Sphere 2(+1) Cylinder 2Ttr? + 2Ttrh 4712 A= A = Geometric sequence T=arn~1 VOLUME 11 Geometric series Pyramid Cone Sphere where A= base area $, = 9(1-+"),1#1 V=4 773 1 7 3 1= Ah 3 a(r" _1) 1#1 1 [ Logarithmic & Exponential Functions Geometric series loga` ax=r=r= alogal a(1 - r"). r #1 Sn ~ಕ   [ a(r" -1) logশ logox 1080` [ 0 Limiting sum of geometric series etlna 0 - 0 , ||<1 $ -1-+_> Logarithmic & Exponential Functions MAGIC logar loga ==0 01 1 erlna 0 S - ShareChat