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3 years ago

Write an equation for the problem, then solve it.

Mathematics

1 answer:

Mamont248 [21]3 years ago

6 0

So first Pedro gets $42

then Tessa gets x dollars mowing.

And it says Pedro gets 3 times as much as Tessa

therefore the equation shall be>>>>>> x∙3=$42

Now we do: 42 / 3 = 14

X= 14

Hope u understand. Stay safe QT! (Also sorry it took me a while i put effort in trying to explain It, in the best way possible)

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3 years ago

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary

AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

$S_{n}=\frac{a(1-r^{n})}{1-r}$ , where

a is the first term
r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = $\frac{-5}{6}$

∵ $\frac{25}{6}$ ÷ -5 = $\frac{-5}{6}$

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is $\frac{-5}{6}$

∴ r = $\frac{-5}{6}$

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ $S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}$

∴ $S_{8}=2.511595508$

- Round it to the nearest hundredth

∴ $S_{8}=2.51$

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

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Answer:
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