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

Question

Mathematics

Esther Barnes

5 March, 16:14

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

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Killian Cline · Answer 1

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.