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prove that 1+2+3+4+5 is equal to 15.
user
we can prove that 1+2+3+4+5=15 using mathematical induction. 

base case: when n=1, 1+2+3+4+5=15 which is true. 

induction hypothesis: assume that 1+2+...+n = n(n+1)/2 and the equation holds true for some n. 

induction step: we need to show that the equation 1+2+...+n + (n+1) = (n+1)(n+2)/2 is also true. 

substituting the induction hypothesis: 1+2+...+n + (n+1) = n(n+1)/2 + (n+1) = n(n+1) + 2(n+1)/2 = (n+1)[n+2/2] = (n+1)(n+2)/2

since the equation holds true for the base case and the induction step, for any natural number n, 1+2+3+4+5=15.
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