Proof : For every positive integer n, prove that 1+2+...+n=n(n+1)/2.
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Problem: For every positive integer n, prove that 1+2+...+n=n(n+1)/2.
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A proof is provided. The solution is detailed and well presented.
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One can use Principle of Mathematical Induction.
for n=1, it is easy to check that both sides of the equation give the same value.
LHS: 1
and RHS: 1(1+1)/2=1
Hence the statement is true for n=1.
Let the statement is true for some ...
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