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CBSE Class 10 Answered

1Q. Show that n^2-1 is divisible by 8 , if n is an odd positive integer. To solve this problem, why the value of n is taken as 4q+1 or 4q+3? How to solve if n is taken as 2q+1?
Asked by vandana.bihari.vb | 08 Feb, 2020, 11:22: AM
answered-by-expert Expert Answer
You can find the answer by clicking the link below
https://www.topperlearning.com/answer/show-that-n2-1-is-divisible-by-8-if-n-is-an-odd-positive-integer/9b09w777
 
now odd number is represented by 2n + 1,
but here it is to prove that it will be divisible by 8, so we take 4n + 1, numbers greater than 4n.
Since no number less than 4n will be divisible by 8 so no need to include those.
Answered by Arun | 08 Feb, 2020, 04:57: PM

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