for any positive integer n,prove that n3 -n is divisible by 6
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Hey!!☺☺
Refer to the attachment
Hope it will helps you ☺☺
Refer to the attachment
Hope it will helps you ☺☺
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VijayaLaxmiMehra1:
No it's not from goggle guy
It's from app R D sharma solution app for class 10
because I'm in 10
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n = I+
Lets assume n = 1
n^3 - n = 1^3 - 1 = 1 - 1 = 0
0/6 = 0
n is equal to 1
Now lets assume n = 2
n^3 - n = 2^3 - 2= 8 - 2 = 6
6/6 = 1
n is equal to 2
Now lets assume n = 3
n^3 - n = 3^3 - 3 = 27 - 3 = 24
24/6 = 4
n is equal to 3
This proves that n = 1,2,3,…
Lets assume n = 1
n^3 - n = 1^3 - 1 = 1 - 1 = 0
0/6 = 0
n is equal to 1
Now lets assume n = 2
n^3 - n = 2^3 - 2= 8 - 2 = 6
6/6 = 1
n is equal to 2
Now lets assume n = 3
n^3 - n = 3^3 - 3 = 27 - 3 = 24
24/6 = 4
n is equal to 3
This proves that n = 1,2,3,…
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