What is the largest integer $n$ such that  $$(1 + 2 + 3 + \cdots+ n)^2 < 1^3 + 2^3 + \cdots+ 7^3?$$
Question:
What is the largest integer $n$ such that  $$(1 + 2 + 3 + \cdots+ n)^2 < 1^3 + 2^3 + \cdots+ 7^3?$$
Answer:
Let's think step by step.

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What is the largest integer $n$ such that  $$(1 + 2 + 3 + \cdots+ n)^2 < 1^3 + 2^3 + \cdots+ 7^3?$$
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