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Phoenix [80]
3 years ago
5

How to evaluate the expression

Mathematics
1 answer:
noname [10]3 years ago
4 0
[(-72) \div (-2)]^3 - (-7) \times (-10)

= [36]^3 - (-7) \times (-10)

=46656 - (-7) \times (-10)

=46656 - (70)

=46586

-------------------------------------


2^3 - 9 \times (2 - 4)

= 8 - 9 \times (-2)

= 8 - (-18)

= 8 + 18

= 26

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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

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  • 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}

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∴ The sequence is a geometric sequence

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∵ 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})}

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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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Step-by-step explanation:

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