Q1) There was a need for one table at the catering company's first event.
Two table were needed for the second event, three tables for the third event and so on.
One table seats 10, and two table seat 18.
If the table are always set up end to end and a total of 74,800 guests have attended,
how many events has the catering company handled?
(Assume every seat has been filled at each event.)
We assume that: each additional table seats 8 more guests.
The number of tables and seats look like this:
The sum of an arithmetic series is: .
. . where: .
We have: .
. . which simplifies to: .
. . which factors: .
. . and has the positive root: .
Therefore, the catering company handled 136 events.