Question

A square desk can seat four people, one on each side. If you push two desks together, you can fit six people. Three desks pushed together can seat eight people. How many people can sit at 51 tables pushed together?
a. 204 people
b. 202 people
c. 104 people
d. 102 people

Answer 1

Answer:

Option c. 104 people

Step-by-step explanation:

For 1 desk : 4 people

For 2 desks: 6 people

For 3 desks: 8 people

For 51 desks:

We can see the pattern in the number of people that can be seated on the tables.

Using arithmetic series: 4,6,8,....

a(n) = a1 + (n-1)d

n = 51

d = a2 - a1 = 6 - 4 = 2

a(51) = 4 + (51 - 1) 2

       = 4 + (50)2

       = 4 + 100

       = 104