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# Sequences: Consecutive Integers - Calculating the Sum of Consecutive Integers

What is the sum of the odd integers from 45 to 65, inclusive?
Correct. [[Snippet]] To find the sum of the odd numbers from 45 to 65 inclusive, do the following steps: 1. Calculate the average: >>$$\text{Average} = \frac{45+65}{2} = \frac{110}{2} = 55$$ 2. Calculate the number of terms: >>$$\text{Number of terms} = \frac{65-45}{2} + 1 = \frac{20}{2} + 1 = 11$$ 3. Multiply the average by the number of terms: >>$$\text{Sum} = 55 \times 11 = 605$$
Incorrect. [[Snippet]] For example, to find the sum of odd integers from 7 to 17, do the following steps: 1. Calculate the average: >>$$\text{Average} = \frac{7+17}{2} = \frac{24}{2} = 12$$ 2. Calculate the number of terms: >>$$\text{Number of terms} = \frac{17-7}{2} + 1 = \frac{10}{2} + 1 = 6$$ 3. Multiply the average by the number of terms: >>$$\text{Sum} = 6 \times12 =72$$
Incorrect. [[Snippet]] For example, to find the sum of odd integers from 7 to 17, do the following steps: 1. Calculate the average: >>$$\text{Average} = \frac{7+17}{2} = \frac{24}{2} = 12$$ 2. Calculate the number of terms: >>$$\text{Number of terms} = \frac{17-7}{2} + 1 = \frac{10}{2} + 1 = 6$$ 3. Multiply the average by the number of terms: >>$$\text{Sum} = 6 \times12 =72$$
Incorrect. [[Snippet]] For example, to find the sum of odd integers from 7 to 17, do the following steps: 1. Calculate the average: >>$$\text{Average} = \frac{7+17}{2} = \frac{24}{2} = 12$$ 2. Calculate the number of terms: >>$$\text{Number of terms} = \frac{17-7}{2} + 1 = \frac{10}{2} + 1 = 6$$ 3. Multiply the average by the number of terms: >>$$\text{Sum} = 6 \times12 =72$$
Incorrect. [[Snippet]] For example, to find the sum of odd integers from 7 to 17, do the following steps: 1. Calculate the average: >>$$\text{Average} = \frac{7+17}{2} = \frac{24}{2} = 12$$ 2. Calculate the number of terms: >>$$\text{Number of terms} = \frac{17-7}{2} + 1 = \frac{10}{2} + 1 = 6$$ 3. Multiply the average by the number of terms: >>$$\text{Sum} = 6 \times12 =72$$
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