Question

Use the following definitions to answer the questions below.

O=1+3+5+7+....+99
E=4+6+8+10+...+102
P=1+3+5+7+...+101

a. Without computing each sum, find which greater, O or E, and by how much.

b. Without computing each sum, find which greater, E or P, and by how much

Answer 1

a) To see which one is bigger, subtract O from E.
O
- E
_________\[(4+6+...+102)-(1+3+...+99)=((4-1)+(6-3)+(8-5)+...+(102-99)\]

Answer 2

*subtract E from O

If it's positive, O is bigger, if it's negative, E is bigger.