Classrooms on one side of the language artslanguage arts building are all numbered with consecutive oddodd integers. If the first​ room, the room with the small

Question

Classrooms on one side of the language arts building are all numbered with consecutive odd integers. If the first room, the room with the smallest classroom number, on this side of the building is numbered y, write an expression in y for the sum of the first four classroom numbers in a row. Then simplify this expression

Answer 1

Consecutive odd numbers are two apart (5, 7, 9, 11...). So given an odd integer, we can add 2 to get the next odd integer.

 

If the first odd integer is y, then the first 4 odd integers are

y

y+2

y+4

y+6

 

These add up to 4y+12