Problem 29 of 34fun-029
The first term of a sequence is . Each term after the first is less than twice the term before it, so . What is ?
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Solution walkthrough1:22
- A recursive rule builds each term from the one before: double it, then subtract . Start from .
- Going from to takes steps of the rule: , , , then .
- , , .
- One more step: .
- Traps: is , is , and forgets to subtract .