A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. Within the next hour, those six people give a stack of flyers to six new people. If this pattern continues, which summation can be used to calculate the number of people who receive a stack of flyers, not including the initial person, in the first five hours?

Answer:In summation form [tex]\sum_{n = 1} ^{5} 6(6)^{n - 1}[/tex]Step-by-step explanation:Within one hour, the first person gives a stack of flyers to six people and within the next hour, those six people give a stack of flyers to six new people.So, in the first 5 hours, the summation of people that receive a stack of flyers not including the initial person will be given by 6 + (6 × 6) + (6 × 6 × 6) + (6 × 6 × 6 × 6) + (6 × 6 × 6 × 6 × 6).So, in summation form [tex]\sum_{n = 1} ^{5} 6(6)^{n - 1}[/tex]Therefore, Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n minus 1, gives the correct solution. (Answer)