Question

Dada a P.G (1,2,4,8,16.....,1024) calcule a soma dos seus termos

Answer 1

a(1)=1
a(n)=1024
q=2

a(n)=a(1)*(q^n-1)
1024=1*(2^n-1)
2^10=2^n-1
10=n-1
n=11

S(11)=1*((2^11)-1)/(2-1)
S(11)=2048-1=2047