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Talja [164]
3 years ago
10

The sum of the series 5(1/2)^i is x/1024 Then x =

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0
I just got this question. I think the answer is 5.
Oksanka [162]3 years ago
7 0

Answer:

The value x is 10240.

Step-by-step explanation:

The sum of the series 5(1/2)^i is x/1024.

The sum of an infinite series a_n=ar^n is

Sum=\frac{a}{1-r}

The given series is

a_i=5(\frac{1}{2})^i

Here, a=5,r=\frac{1}{2}.

The sum of given series is  

Sum=\frac{5}{1-\frac{1}{2}}

\frac{x}{1024}=\frac{5}{\frac{1}{2}}

\frac{x}{1024}=10

x=10240

Therefore value x is 10240.

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Answer:

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Combine like terms: -3 + -7 = -10

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Solving

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Solving for variable 'n'.

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Add '10' to each side of the equation.

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