“The sum of three consecutive integers is 33. Find the smallest integer:”

"To find the smallest of three consecutive integers summing to 33 let the integers be x x+1 and x+2. Their sum x + (x+1) + (x+2) = 33 simplifies to 3x + 3 = 33. Solving 3x = 30 gives x = 10. Thus the smallest integer is 10. This algebraic approach is fundamental for solving sequence problems applicable in mathematics and real-world scenarios like scheduling."