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

What is the sum of the geometric series 2^0 + - id20212122293, chubbyxturtle

Ответ:

lyrique

01.01.2022

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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Ответ:

actheorian8142

01.01.2022

Mathematics

Hello,

$1+2+2^2+2^3+...+2^9=\frac{2^{10}-1}{2-1}=1023$

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Ответ:

jwagner1580

06.06.2021

Mathematics

Get the value of the decimal:
$\frac{14}{10}=1.40$

Remember that percentages are simply the value of a decimal multiplied by 100. (From the Latin, "per centus", meaning "per 100")

therefore:
1.40(100)=140percent

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

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