n2 - 1 is divisible by 8 if n isa)An integerb)A natural numberc)An odd integerd)An even integerCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

If n is even then it is not possible for n=2. If n is natural number then it is not possible for n=1,2.If n is integer similarly n²- 1 is not divisible by 8.If n is odd the possible for n is 3,5,7. Thus the n is odd number

Answer

Explanation:

To prove that n2 - 1 is divisible by 8 if n is an odd integer, we need to follow the following steps:

Step 1: Express n2 - 1 as (n + 1)(n - 1).

Step 2: We know that if a product of two integers is even, then at least one of the integers must be even. Hence, either (n + 1) or (n - 1) must be even.

Step 3: If (n + 1) is even, then n is odd, and (n - 1) must be odd. Similarly, if (n - 1) is even, then n is odd, and (n + 1) must be odd.

Step 4: In either case, one of (n + 1) or (n - 1) is divisible by 2, and the other is divisible by 4. Hence, (n + 1)(n - 1) is divisible by 8.

Step 5: Therefore, n2 - 1 is divisible by 8 if n is an odd integer.

Conclusion:

Hence, the correct option is 'C' i.e., An odd integer.

Answer

If n is even then it is not possible for n=2. If n is natural number then it is not possible for n=1,2.If n is integer similarly n²- 1 is not divisible by 8.If n is odd the possible for n is 3,5,7. Thus the n is odd number ...

Answer

Ya... Coz tum koi bhi Odd number lelo

(1, 3,5....) kitne bhi Odd number lelo

Vo iss equation ko satisfy krege

n^2-1 is divisible by 8..

Try krke dekho

Answer

Let n be odd no such that 3
so, (n2-1)/8
3²-1/8
9-1/8
8/8
1
so Answer c is correct
if n will be an even then the no divisible by 8 is an odd no that can't be divided

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