Odd Numbers

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Which of the following algebraic expressions should be used to model the sentence below?

The sum of three consecutive odd integers, if x + 1 is the first odd integer.

A. x + x + 2 + x + 4

B. x + x + 1 + x + 2

C. x + 1 + x + 3 + x + 5

D. x + 1 + x + 2 + x + 3

You are told that the first odd number is going to be x + 1. Odd numbers are every other number, so

that the difference between consecutive odd numbers (like 7 and 9, or 83 and 85) is always 2.

The next odd number will have an increase of 2 from the first odd number.

2

nd

= x + 1 + 2 = x + 3

The third odd number will have another 2 added onto the second odd number.

3

rd

= x + 3 + 2 = x + 5

The sum of the odd numbers can be found by adding all 3 values together.

Sum = x + 1 + x + 3 + x + 5

C.

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Which of the following algebraic expressions should be used to model the sentence below? The sum of three consecutive odd integers, if x + 1 is the first odd integer. A. x + x + 2 + x + 4 B. x + x + 1 + x + 2 C. x + 1 + x + 3 + x + 5 D. x+1+x+2+x+3 You are told that the first odd number is going ...
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