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4 years ago

36 - 5p=-6(1 – 4p) – 8p

Mathematics

1 answer:

horsena [70]4 years ago

6 0

Answer:

Step-by-step explanation:

Expland the brackets

36-5p=-6+24p-8p

Add 6 to both sides

42-5p=16p

Add 5p to both sides

42=21p

Divide by 21 on both sides

2=p

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-6/7,-3/7,0,3/7 .... create a formula that explains the arithmetic sequence

LenKa [72]

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term
d is the common difference between the consecutive terms

∵ $\frac{-6}{7}$ , $\frac{-3}{7}$ , 0 , $\frac{3}{7}$ are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = $\frac{-3}{7}$ - $\frac{-6}{7}$

∴ The difference between two consecutive terms = $\frac{-3}{7}$ + $\frac{6}{7}$ = $\frac{3}{7}$

∴ The common difference = $\frac{3}{7}$

∴ d = $\frac{3}{7}$

∵ The first term is $\frac{-6}{7}$

∴ a = $\frac{-6}{7}$

- Substitute a and d in the formula above

∴ $a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}$

- Simplify the right hand side

∴ $a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}$

- Add like terms

∴ $a_{n}=\frac{3}{7}n-\frac{9}{7}$

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Learn more:

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

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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15% off of $1250 is $1062.50

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