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UNO [17]
2 years ago
11

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

Mathematics
2 answers:
Murljashka [212]2 years ago
8 0
Hello,

1+2+2^2+2^3+...+2^9=\frac{2^{10}-1}{2-1}=1023
Download xls
mars1129 [50]2 years ago
3 0
The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
S_{n}=\frac{a_{1}(1-r^{n})}{1-r}
a1=1
r=2
we want to find S_{10} (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

S_{10}=\frac{1(1-2^{10})}{1-2}
S_{10}=\frac{(1-1024}{-1}
S_{10}=\frac{(-1023}{-1}
S_{10}=1023

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