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