Specialist2025 NHT Exam 1 · Q3Tech-free4 marks

Induction proof for a sum of even cubes

Prove by mathematical induction that $2^3 + 4^3 + 6^3 + \ldots + (2n)^3 = 2n^2(n+1)^2$ , where $n \in N$ .

4 marks

Hints, answer checking and worked solutions come with a Season Pass.

Specialist2025 NHT Exam 1 · Q3Tech-free4 marks

Prove by mathematical induction that $2^3 + 4^3 + 6^3 + \ldots + (2n)^3 = 2n^2(n+1)^2$ , where $n \in N$ .

4 marks

Hints, answer checking and worked solutions come with a Season Pass.