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**Soap** Let CLAIM(n) be $\displaystyle

\sum_{j = 1}^nj^3 = \frac{{n}^2({n}+{1})^2}{4}

$

**Step 1:**

**CLAIM(1)** is $\displaystyle

\sum_{j = 1}^1j^3 = \frac{{1}^2({1}+{1})^2}{4}

$

LHS = 1 ; RHS = 1

Therefore, LHS=RHS, So CLAIM(1) is true.

**CLAIM(2)** is $\displaystyle

\sum_{j = 1}^2j^3 = \frac{{2}^2({2}+{1})^2}{4}

$

LHS = 9 ; RHS = 9

Therefore, LHS=RHS, So CLAIM(2) is true.

Are my initial steps above correct?

If it is so, i'm still pretty stucked at what to do in the following steps, like how do i actually go about implementing (K+1) into the equation? Please guide me along ADARSH! Thanks!