Question

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? mc018-1.jpg mc018-2.jpg mc018-3.jpg mc018-4.jpg

Answer 1

Answer:

9330  GP

∑6 * 6ⁿ⁻¹ (n = 1 to 5)

Step-by-step explanation:

Within one hour, the first person gives a stack of flyers to six people.

in one hour  flyers given to 6 people

in next hour (2nd hour) flyers given to 6 * 6 = 36 people

in next hour (3rd hour) flyers given = 36 * 6 = 216 people

in next hour (4th hour) flyers given = 216 * 6 = 1296 people

in next hour (5th hour) flyers given = 1296 * 6 = 7776 people

Total flyers given in 5 hrs = 6 + 36 + 216 + 1296 + 7776 = 9330

Here Geometric progression (GP) can be used

6 + 6² + 6³ + 6⁴ + 6⁵

∑6 * 6ⁿ⁻¹ (n = 1 to 5)

a = 6  r = 6  n = 5

Sum = a(rⁿ - 1)/(r -1)  = 6 (6⁵ - 1)/(6-1)    = 6 (7776 - 1)/5  = 6 * 7775/5

= 6 * 1555

= 9330