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iris [78.8K]
3 years ago
14

What is the value of the geometric sequence for which a1=10 and r=0.5?

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
The formula for an infinite geometric sequence is the following:

S_{∞}= \frac{a_{1}}{1-r}

Just substitute the values of a_{1} and r into the formula.

S_{∞}=\frac{10}{1-0.5}
S_{∞}=\frac{10}{0.5}
S_{∞}= 20

Therefore, the answer is 20.
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In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,

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3 years ago
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