how can we proving one equation with math induction ?

Question

anonymous · Answer

first check for k=1
then assume k=n  is true and try to prove that the equation holds true even for k=n+1,
hence through mathematical induction u'll prove the result is true :)

jhonyy9 · Answer

can you write me one example please ?

anonymous · Answer

say i need to prove the summation of 1+2+3...till n is n(n+1)/2
check for k=1
by formula u get=1(1+1)/2=1
so lets now assume the formula holds for n ,
now for k=n+1 ,
the sum is n(n+1)/2+(n+1)
where n(n+1)/2 is the sum till n terms,we are using it here since we've assumed it to be true.
now simplify the term n(n+1)/2+(n+2)
we'll get (n+1)(n+2)/2
which proves it.

jhonyy9 · Answer

can you prove in this way one equation like n=a+b+1 - where a and b are grater or equal 1 and n are greater or equal 3 and a,b,n are numbers natural from N  ?

anonymous · Answer

i don't understand how u can proceed with this substitution.....

jhonyy9 · Answer

how can be proven that for any value of n will be always one number a and one number b such that this equation is true

jhonyy9 · Answer

like 3=1+1+1

anonymous · Answer

are you helping me with 9-x^2 ?  If so, I have no clue to what ur saying.