Question

al Use mathematical induction to prove that
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Answer 1

Answer:

So,The answer is

p(1) is true...

1³+2³+3³+4³+5³+.............+1³=1³(1+1)²÷4

=1(4)÷4

=4÷4

=1

p(1) is true

ii)p(k) is true

=1³+2³+3³+4³+.......k³=[k²(k+1)²]÷4

=k²(k+1)²÷4

=k²(k)²÷4

=1 ,so p(k) is true

iii)p(k+1)is true

=1³+2³+3³+4³+.......+(k+1)³=k²(k+1)²÷4

=k²(k²)÷4

=k²÷4

=p(k+1)is true

hence satisfied thi the mathematical induction. method