Reasoning Zach texted 8 different friends each day for three days about a new game. Then Zach texted 8 friends about a new movie
. The next day each of Zach's friends texted 8 friends about the movie, and the third day each of those friends texted 8 friends about the movie. Did more people get a text about the game or the movie? Explain. Al
The first situation describes an arithmetic sequence, where the number of people that got the text about the game is increasing by 8 everyday. After day 1, 8 perple were aware of the game. After day 2, 8 + 8 = 16 people were aware, and after day 3, 8 + 2(8) = 8 + 16 = 24 people were aware.
For the movies, this describes a geometric sequence, where the number of people that got the text about the movie is increasing by a power of 8. After day 1, 8 people were aware of the movie. After day 2, 8 + 8^2 = 8 + 64 = 72 people were aware. And after day 3, 8 + 8^3 = 8 + 512 = 520 people were aware of the movie.
Therefore, more people got the text about the movie than about the text.
