Question

Use a soma de Gauss e faça as somas abaixo


a) A soma dos 160 termos.


b) A soma dos 290 termos


c) A soma dos 500 termos

Answer 1

a) 

Sn = ( a1 + an ) . n /  2  
Sn = ( 1 + 160 ) . 160 /  2   
Sn = 161 . 80  
Sn = 12880

===

b)

Sn = ( a1 + an ) . n /  2  
Sn = ( 1 + 290 ) . 290 /  2   
Sn = 291 . 145  
Sn = 42195


===

c)

Sn = ( a1 + an ) . n /  2  
Sn = ( 1 + 500 ) . 500 /  2   
Sn = 501 . 250  
Sn = 125250

Answer 2

Olá!!!

Resolução!!!

Sn = ( a1 + an ) • n/2
S160 = ( 1 + 160 ) • 160/2
S160 = 161 • 160/2
S160 = 25760/2
S160 = 12880

b)

Sn = ( a1 + an ) • n/2
S290 = ( 1 + 290 ) • 290/2
S290 = 291 • 290/2
S290 = 84390/2
S290 = 42195

c)

Sn = ( a1 + an ) • n/2
S500 = ( 1 + 500 ) • 500/2
S500 = 501 • 500/2
S500 = 250500/2
S500 = 125250

Espero ter ajudado!!