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natima [27]
2 years ago
6

Chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6

Mathematics
1 answer:
marin [14]2 years ago
3 0

Answer:

steps below

Step-by-step explanation:

5¹+5² = 30        30/<u>6</u> = 5¹

5³+5⁴ = 125 + 625 = 750     750/<u>6</u> = 125 = 5³

5⁵+5⁶ = 18750         18750/6 = 3125 = 5⁵

...........

(5¹⁹⁹¹+5¹⁹⁹²)/<u>6</u> = 5¹⁹⁹¹

sum of every couple consecutive multiple of 5 are multiple of 6, the sum

S= <u>5+ 5^2</u> + 5^3 + ...+ <u>5^1991 + 5 ^1992</u> IS multiple of 6

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A square desktop has an area of 324 square inches. What is the length of one side of the desktop
Sveta_85 [38]
Question: The area of a square is 324 square inches. What is the length of one side of the square?
The formula for finding area of squares is:

Length x Width

Squares have 4 sides, and all sides measure the same. If the area is 324 square units, that means the length and width are the same.

x X x=x2

X2=324

x squared(x²) is equal to 324. To find x, you have to do the opposite of squaring, which is finding the square root.

x2= 324 —> square root of 324=x

To find x, you have find the square root of 324.

Square root of 324 is 8

The length of one side is 18 inches
Check:
The formula for finding area is:

Length x Width

The length and width gotten was 18. Put that into the formula:

18 x 18

Multiply:

18 x 18= 324

That means the answer is correct. Your answer is 18 inches.
If you have any questions, feel free to ask in the comments! :)


8 0
3 years ago
Find the percent decreased original price: $40 sale price: $30
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Answer:

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Picture needed. not enough info

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