Math, asked by asingg2018, 2 months ago

[CBSE
number.
7. For any positive integer n, prove that (nº - n) is divisible by 6.

Answers

Answered by nithinbk68

2

Answer:

(n – 1) , n, (n + 1) are consecutive integers thus as proved a must be divisible by 3. Thus, n³ – n is divisible by 6 for any positive integer n.

Previous Question

Next Question

Similar questions

Social Sciences, 1 month ago

Who among the following annexed the Punjab as British territory after the Second Anglo-Sikh War? ...

Hindi, 1 month ago

answer them answer them ...

English, 1 month ago

convert 283 Fahrenheit to Kelvin...

Math, 2 months ago

(x-2)(x+1)=(x-1)(x+3) ...

Computer Science, 2 months ago

nacci series is implemented using recursion. int generateFibonacciSeries(int num) { I if (num <= 1) return num; return generateFibonacci Series(nun-1) - generated 2); } of the following is true about this?

English, 9 months ago

In the following question, sentence given with blank is to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option. Fuel suppliers will ______________ the national oil shortage by raising prices to increase their bottom lines. A) use B) misuse C) venture D) exploit...

English, 9 months ago

In the following question, sentence given with blank is to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option. The investigations revealed a ______________lack of efficiency in the functioning of the airlines. A) plain B) obscure C) conspicuous D) concealed...

English, 9 months ago

In the following question, out of the four alternatives, choose the word which best expresses the meaning of the given word and click the button corresponding to it. PROFLIGATE A) TALKATIVE B) INTELLIGENT C) UNCONVENTIONAL D) WASTEFUL...