Problem of the Week

Current Problem (Week of 11/7/24–11/13/24)

Square ABCD has an area of one square unit.
The shaded region has an area of
31/80
square units.
Find the length of line segment BE.

Last Week’s Problem

A sequence of numbers such as 8, 11, 14, 17, 20, 23, 26, 1.. is called an arithmetic sequence because the difference between consecutive terms is constant (in this case 3). Suppose a1, a2,a3,... and b1, b2,b3,... are both arithmetic sequences. We define a new sequence by: cn = an bn for n = 1,2,3, ... If c1=6, c2=32 and c3 = 78 FIND c10

Rules for Problem of the Week

  1. Only P.C. students can participate.
  2. A new question is posted each Friday that classes are in session.
  3. A correct answer must be exact. For example, if the correct answer is 2π then 6.28 is not correct. If the correct answer is 1/3 then 0.3333 is not correct.
  4. A participant who gives the first correct answer to a question is the winner for that week.
  5. The winner for each week gets a raffle ticket for a drawing held during the mathematics department end-of-the-year party in May. Several prizes will be raffled off. You do not have to be present to win.
  6. Answers are to be submitted by email to: jhoag@providence.edu. There is no other way to submit an answer.
  7. All decisions of the judges are final.

Mathematics and Computer Science

Office Hours: Mon – Fri, 8:30am – 4:30pm
Howley Hall 218
401.865.2334

Liam Donohoe

Department Chairperson
Howley Hall Room 200
401.865.2466
ldonohoe@providence.edu

Emelinda Huertas

Administrative Coordinator
Howley Hall – Room 218
401.865.2334
ehuerta1@providence.edu