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Akimi4 [234]
3 years ago
10

Witch number produces a rational number when multipled by 0.25

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

1

Step-by-step explanation:

.25 is already a rational number as it equals 25/100 and 1/4 simplified

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2 years ago
Infinite over E n=1 4(0.5)^n-1
yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}

We can also write in summation notation rather S-term as:

\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

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Step-by-step explanation: coz I juss know

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Step-by-step explanation:

Because you have to solve for the variable, making it algebraic.

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