Algebra I.3.A.05 - The Power of Exponential Growth – Exit Ticket

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2 questions

Chain emails are emails with a message suggesting you will have good luck if you forward the email on to others. Suppose a student started a chain email by sending the message to 3 friends and asking those friends to each send the same email to 3 more friends exactly 1 day after they received it.

Write an explicit formula for the sequence that models the number of people who will receive the email on the nth day. (Let the first day be the day the original email was sent.)Assume everyone who receives the email follows the directions.

Which day will be the first day that the number of people receiving the email exceeds 100?

From EngageNY.org of the New York State Education Department. High School 1 Algebra, Module 3, Topic A, Lesson 5. Internet. Available from https://www.engageny.org/resource/algebra-i-module...; accessed 27/Oct/2015.