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Without computing each​ sum, find which is​ greater, O or​ E, and by how much

equals=
O= 3+5+7+9+...+101
E= 4+6+8+10+...+102

User Xtreme
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2 Answers

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if you need an explanation tell me.
Without computing each​ sum, find which is​ greater, O or​ E, and by how much equals-example-1
User Yevgeni
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2 votes

Answer:

E will be greater than O

Explanation:

O= 3+5+7+9+...+101

E= 4+6+8+10+...+102

= (3+1)+(5+1)+(9+1)...+(101+1)

Clearly, each term in E is one more than the term in O

so, sum of series in E will be greater than the sum of series in O

Hence, E will be greater than O

User Aaron Hiniker
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