martes, 7 de septiembre de 2010

2° tarea "Algebra"

RESOLVER EN SU BLOG LAS SIGUIENTES SUCESIONES Y SERIES NUMERICAS....




1.- a1= -27 d= 2 12 terminos

OPERACION:





a1+d =-27+2= -25 +2= -23 +2= -21….. etc…





R= -25 -23 -21 -19 -17 -15 -13 -11 -9 -7 -5 -3













2.- a1= -34/9 d= 2/3 9 terminos

OPERACION:





a1+d = -34/9 + 2/3 = -102+18/27= -84/27





• -84/27 + 2/3 = -252+54/81 = -198/81





• -198/81 + 2/3 = -594+162/243 = -432/243





• -432/243+ 2/3 = -1296+486/729 = -810/729





• -810/729 + 2/3 = -2430+1458/2187 = -972/2187





• -974/2187+2/3 = -2916+4374/6561 = -1458/6561





• -1458/6561+2/3= -4374+13122/19683 =8748/19683





• 8748/19683+2/3 = 26244+39366/59049 = 65610/59049





• 65610/59049+2/3 = 196830+118098/117147 = 314328/117147.





R= -84/27…..-198/81….432/243….-810/729….972/2187…





-1458/6561….8748/19683…-65610/59049….314928/117147.













3.- a1= 67 d= -3.75 10 terminos

OPERACION:

a1+d = 67+(-3.75) = 63.25 +(-3.75) = 59.5 …. Etc





R= 63.25 59.5 55.75 52 48.25 44.5 40.75 37 3 3.25 29.5













4.- a1= 128.15 d=-12.35 7 terminos

OPERACION:





a1+d = 128.15+ (12.35) = 115.8 +(-12.35) = 103.45….etc





R= 115.8 103.45 91.1 78.75 66.4 54.05 41.7





5.- a1= 63/7 d= -9/7 11 terminos

OPERACION:





a1+d = 63/7+ (9/7) = 54/7 +(9/7) = 45/7 …etc





R= 54/7 45/7 36/7 27/7 18/7 9/7 0/7 -9/7 -18/7 -27/7 -36/7 -45/7













6.- a1= -3 an= 187 n= -75

OPERACION:





(a1+ an)n/2 = (-3+187)-75/2





(-3+187)-75/2 = (184)-75/2 = 13800/2= 6900





R= 6900.













7.- a1= 2 an= 215 n= 164

OPERACION:





(a1+an)n/2 = (2+215) 164/2





(2+215) 164/2= (217) 164/2= 35588/2 = 17794





R= 17794.













8.- a1= 21 an= 276 n= 321

OPERACION:





(a1+an)n/2 =(21+276)321/2





(21+276)321/2 = (297) 321/2 = 95337/2 = 47668.5





R= 47668.5













9.- a1= -78 d= -49

OPERACION:





a1+d (n-1) =-78+-49 (n-1)





-78+-49(n-1) =-127(n-1)





(n-1) = -127





n= -127+1





n= -128













10.- a1= 345 d= -169

OPERACION:





a1+d(n-1) = 345+-169 (n-1)





345+-619 (n-1) = 176 (n-1)





(n-1) = -176





n= -176+1





n= -177

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