Specialist2024 NHT Exam 1 · Q8Tech-free4 marks

Induction proof of a sum formula

Prove by mathematical induction that

$1 \times 7 + 2 \times 15 + 3 \times 23 + \ \ldots \ + n(8n-1) = \frac{1}{6}n(n+1)(16n+5) \text{ for all } n \in N.$

4 marks

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

Specialist2024 NHT Exam 1 · Q8Tech-free4 marks

Prove by mathematical induction that

$1 \times 7 + 2 \times 15 + 3 \times 23 + \ \ldots \ + n(8n-1) = \frac{1}{6}n(n+1)(16n+5) \text{ for all } n \in N.$

4 marks

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