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Question
What is the sum of the even integers from to , inclusive?
Answer Choices
- A.
- B.
- C.
- D.
- E.
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first note the key features of our sequence: the first term, the last term, and the constant gap (step) between consecutive even numbers. | ||
Next, we count how many terms appear in this evenly spaced list. By the "Counting Evenly Spaced Integers" rule, we subtract the endpoints, divide by the step, and add one because the list is inclusive. | Theory & Tactics Method Card EVEN1-B Click to view full details | |
For an evenly spaced list, the average value equals the mean of the first and last terms. | ||
Finally, we apply the "Sum of Evenly Spaced Integers" rule: the sum equals the average multiplied by the number of terms. | Theory & Tactics Method Card EVEN1-D Click to view full details |
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Final Answer
A
Question
What is the sum of the even integers from to , inclusive?
Answer Choices
- A.
- B.
- C.
- D.
- E.
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first note the key features of our sequence: the first term, the last term, and the constant gap (step) between consecutive even numbers. | ||
Next, we count how many terms appear in this evenly spaced list. By the "Counting Evenly Spaced Integers" rule, we subtract the endpoints, divide by the step, and add one because the list is inclusive. | Theory & Tactics Method Card EVEN1-B Click to view full details | |
For an evenly spaced list, the average value equals the mean of the first and last terms. | ||
Finally, we apply the "Sum of Evenly Spaced Integers" rule: the sum equals the average multiplied by the number of terms. | Theory & Tactics Method Card EVEN1-D Click to view full details |
Scroll horizontally to view all columns
Final Answer
A