Induction 5 – Series

You’ll learn

• Read and unpack sigma notation before starting a series-induction proof
• Prove sum formulas like ∑n² = n(n+1)(2n+1)/6 by adding the (k+1)th term to both sides
• Combine over a common denominator and factor out (k+1) to match the target form
• Prove ∑(2n−1) = n² and the telescoping sum ∑1/(n(n+1)) = n/(n+1)