n^2 - (?) = n + (n-1)
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Answer:
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Step-by-step explanation:
n^2-1=n+(n-1)
i hope its helpfull us kkk
Answered by
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This question can be solved by method of induction
Assume n!>2
n−1
to prove n+1!>2
n
so we need to find the lowest natural number which satisfies our assumption that is 3
as 3!>2
3−1
as 6>4
hence n>2 and n natural number now we need to solve it by induction
to prove n+1!>2
n
we know n!>2
n−1
multiplying n+1 on both sides we get n+1!>2
n−1
(n+1)
n>2 hence n+1>3
which also implies n+1>2
hence n+1!>2
n
hence n!>2
n−1
proved by induction where n∈N and n>2
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