Sequences and series| Recurring Decimals Application| Show that 9.999... = 10(Not approximately)!

In this video, we prove that 9.999999999… (recurring) is exactly equal to 10 — not approximately, not nearly, but exactly 10!

We’ll use the concept of the Sum to Infinity from geometric series to explain this fascinating mathematical idea step-by-step. You’ll see how recurring decimals can be represented as infinite series, and how simple algebra can lead to surprising — yet perfectly logical — results

🧮 Topics covered:
• Understanding recurring decimals
• Writing 9.999... as a geometric series
• Applying the formula for the sum to infinity
• Proving that 9.999... = 10 exactly

📘 Perfect for: EGCSE, IGCSE, and high school students exploring series and sequences.

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