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Svetach [21]
3 years ago
14

Robert the number 80, if the rule is subtract 7, what is the third number in Rob's pattern

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

59

Step-by-step explanation:

you do

80 -7= 73

73-7=66

66-7=59

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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

3 0
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lisov135 [29]

Total price Tiffany pays for the basket of watermelons is $9.81

<u>Step-by-step explanation:</u>

Here we have , Tiffany buys a basket of watermelons on sale for $9 . The sales tax is %9, percent. We need to find what is the total price Tiffany pays for the basket of watermelons? . Since, Tiffany buys a basket of watermelons on sale with a price tag of $9 , she takes it ! Now, she goes in reception for billing , then its known to her that there is 9% tax ,so she pays an extra 9% amount of money of price i.e. \frac{9(9)}{100} = 0.81 .

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