Mathematics, 26.10.2020 02:40 edwin3448
Luca’s friend Isabel is performing in a singing competition. The winner of the competition will be determined by call-in votes. To help Isabel earn votes, Lucas sends text messages to 8 of his friends. He then asks each of his friends to send texts to 8 more friends and asks his friends to ask each of their friends to send 8 texts. He is hoping this pattern will continue and that many people will receive text messages telling them to vote for Isabel. Call each set of text messages a “round” of text messages, where Luca’s messages are the first round, Lucas’s friends' messages are the second round, and so on. Assuming that no one sends text to the same person, how many texts will be sent after x rounds of text messages?
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