College Algebra problem PLEASE SHOW ALL WORK DO NOT skip or

College Algebra problem. PLEASE SHOW ALL WORK (DO NOT skip or combine steps and please explain what you\'re doing). I know the answer (it\'s provided with the question). I don\'t know how to solve the problem to arrive at that answer so I need to see ALL of the steps for arriving at the answer provided. Please TYPE your answers. I have a very hard time reading handwriting, especially if it\'s been scanned into the computer.

18 n(n 1 3 3 3 1 2 3 for all positive integers E. Then Assume 13 2 3 n (n 1 s (n 2 is equal to what expression? n +2) n 3 2 ANSWER

Solution

1^3 +2^3 +3^3 .....n^3 = (n(n+1)/2)^2

Now for series : 1^3 + 2^3 +3^3 ....n^3 + (n+1)^3 +(n+2)^3

Here the last term is n+2

So, replcae n = n+2 in  (n(n+1)/2)^2

So, sum of series = ((n+2)(n +2+1)/)^2

= ( (n+2)(n+3)/2)^2