please solve this problem
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Shanaya42228:
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if n=1, then n+2=3,n+4=5 (only 3 is divisible)
if n=2,then n+2=4,n+4=6 (only 6 is divisible )
if n=3,then n+2=5,n+4=7 (only 3 is divisible )
so we can say that there are one nd only one out of n, n+2, n+4 is divisible by 3
if n=2,then n+2=4,n+4=6 (only 6 is divisible )
if n=3,then n+2=5,n+4=7 (only 3 is divisible )
so we can say that there are one nd only one out of n, n+2, n+4 is divisible by 3
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♧♧HERE IS YOUR ANSWER♧♧
Given terms are :
n, n + 2 and n + 4.
When n = 1,
n = 1
n + 2 = 1 + 2 = 3, divisible by 3
n + 4 = 1 + 4 = 5
When n = 2,
n = 2
n + 2 = 2 + 2 = 4
n + 4 = 2 + 4 = 6, divisible by 3
When n = 3,
n = 3, divisible by 3
n + 2 = 3 + 2 = 5
n + 4 = 3 + 4 = 7
. . .
. . .
. . .
So, one and only one out of n, n+ 2 and n + 4 is divisible by 3. [Proved]
♧♧HOPE THIS HELPS YOU♧♧
Given terms are :
n, n + 2 and n + 4.
When n = 1,
n = 1
n + 2 = 1 + 2 = 3, divisible by 3
n + 4 = 1 + 4 = 5
When n = 2,
n = 2
n + 2 = 2 + 2 = 4
n + 4 = 2 + 4 = 6, divisible by 3
When n = 3,
n = 3, divisible by 3
n + 2 = 3 + 2 = 5
n + 4 = 3 + 4 = 7
. . .
. . .
. . .
So, one and only one out of n, n+ 2 and n + 4 is divisible by 3. [Proved]
♧♧HOPE THIS HELPS YOU♧♧
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