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Brilliant_brown [7]
4 years ago
10

What is the equivalent fraction for 0.0013

Mathematics
2 answers:
Leviafan [203]4 years ago
5 0
0.0013 written as a fraction is 13 / 10000
Tema [17]4 years ago
3 0
The answer is 13/1000000
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\displaystyle |r| < 1 \implies \sum_{n=0}^\infty ar^n = \frac{a}{1-r}

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\displaystyle S_N = \sum_{n=0}^N \left(6^x - 9\right)^n = 1 + \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \cdots + \left(6^x - 9\right)^N

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Subtract this from S_N to eliminate all the powers of the ratio between 0 and N+1.

\left(1 - \left(6^x - 9\right)\right) S_N = 1 - \left(6^x - 9\right)^{N+1}

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S_N = \dfrac{1 - \left(6^x - 9\right)^{N+1}}{10-6^x}

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