Question

1^3+2^3+....n^3=(n(n+1)÷2)^mathematical inductions ​

Answer 1

for n1 the statement is true

Answer 2

by math induction on n,

for n = 1, the statement is true since


`1^3=\left((1(1+1))/(2)\right)^2`

assume that the statement is true for n = k ie


`1^3+2^3+...+k^3=\left((k(k+1))/(2)\right)^2`

we will use the equation for n = k to show that the statement is also true for n = k + 1.

observe


`image`

Q.E.D.