3 years ago

30 points Picture attached

Mathematics

1 answer:

Reika [66]3 years ago

7 0

What is the problem cause i dont see a photo

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Step-by-step explanation:

Taking the succession:

$1+r+r^{2}+r^{3}+.....+r^{n-1}$

You can multiply and divide by 1-r without chaging the result:

$\frac{1-r}{1-r} (1+r+r^{2}+r^{3}+.....+r^{n-1})$

Distributing the upper part of the fraction you have:

$\frac{1}{1-r} (1-r+r-r^{2}+r^{2}-r^{3}+r^{3}-r^{4}+.....+r^{n-1}-r^{n})$

As can be seen all the intermediate members will be canceled by a same member with opposite sign, only $(1-r^{n})$ will be left so:

$1+r+r^{2}+r^{3}+.....+r^{n-1} = \frac{1-r^{n}}{1-r}$

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3 years ago

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Mariulka [41]

Answer: 1

Step-by-step explanation:

First multiply x and y which is 3 x -1 = -3

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