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