Question

Without computing each sum, find which is greater, O or E, and by how much. O=3+5+7+9+...+105 E=4+6+8+10+...+106

Answer 1

E is greater than O.

Explanation:

We have

O=3+5+7+9+...+105 and E=4+6+8+10+...+106

Number of term in O = (105 -3)/2 + 1 = 51 +1 = 52

Number of term in E = (106 -4)/2 + 1 = 51 +1 = 52

E - O = 1 + 1 + 1 + ....... 52 times = 52

So value of E is 52 more than value of O.

E is greater than O.