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natima [27]
3 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]3 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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Answer:

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Step-by-step explanation:

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Norma-Jean [14]
Hello there.

<span>There were 196 students that participated in a clean-up event at a nearby lake. this is one fourth of the entire student population. write and solve an equation to find the number of students at this school.

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6 0
4 years ago
Need help with trig
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5 0
3 years ago
Which system of equations has the same solution as the system below
QveST [7]

Answer:

None of the above.

Step-by-step explanation:

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This system of equations is missing from your choices.

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3 0
4 years ago
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