Question

4^3+8^3+12^3+..........+(4n)^3=16 n^2 (n+1)^2 prove by mathematical induction

Answer 1

answer ; p(1)=(4)^3=16

     16=16

p(1) is true

let assume p(k)is true

4^3+8^3+........+(4k)^3=16K^2

to prove p(k+1)is true

4^3+8^3+.....(4K+4)^3=16K^2

let we know that the consecuent term of (4k+4)^3 is(4k)^3

apply this value we get and solve we get the answer 16k^2