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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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  1. 10 April, 18:15
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    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.
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