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Elodia [21]
3 years ago
10

Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it

Mathematics
1 answer:
LenKa [72]3 years ago
8 0

Answer:

Person A paints the house in 12 days.

person B paints the house in 60 days.

Step-by-step explanation:

The together rate is the sum of each separate rate.

Person A can paint the neighbor's house 5 times as fast as Person B.

This means that the rate of person A is 1/x, and the rate of person B is 1/5x.

The year A and B worked together, it took them 10 days.

This means that:

\frac{1}{x} + \frac{1}{5x} = \frac{1}{10}

Multiplying everything by 10x

10 + 2 = x

x = 12

This means that:

Person A paints the house in 12 days.

person B paints the house in 60 days.

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Step-by-step explanation:

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By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

<h3>What is sequence ?</h3>

Sequence is collection of  numbers with some pattern .

Given sequence

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We can see that

\frac{a_1}{a_2}=\frac{-10}{5}=-2\\

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Now n^{th}  term of this Geometric progression can be written as

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\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

To learn more about Geometric progression visit : brainly.com/question/14320920

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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