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

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Mathematics

10 April, 17:50

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

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Giselle · Answer 1

E is greater than O.

Step-by-step 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.