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Bebras 2022 - Level 3 Question 1

BEBRAS · Bebras 2022 - Level 3

Question 1

Corey the beaver is having a party this weekend. He wants to meet many new friends, so he thinks of inviting people in rounds as follows:
- Round 1: Corey invites 4 guests.
- Round 2: Each invited guest invites 4 more people.
- Round 3: Each newly invited guest invites 4 more people.
- …
Assuming nobody is invited twice, what is the minimum number of rounds needed for the number of guests attending to be 1300?
  1. 3
  2. 4
  3. 5
  4. 6