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Arithmetic Sequences: Find the Common Difference — Easy Worksheet 1
Grade 9 · Whoobee Name: ____________________ Date: __________
Find the common difference d of each arithmetic sequence. It can be negative, like d = -3.
How to solve
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Example
Find the common difference of the arithmetic sequence 2, 5, 8, 11, ...
Answer: 3
Not quite. The answer is
💡 Subtract each term from the next one: 9 − 4 = 5, 14 − 9 = 5 and 19 − 14 = 5. The difference is always the same. The terms go up, so d is positive. The common difference is d = 5.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 9 − 4 = 5, 14 − 9 = 5 and 19 − 14 = 5. The difference is always the same. The terms go up, so d is positive. The common difference is d = 5.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 2, 7, 12, 17, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract each term from the next one: 11 − 6 = 5, 16 − 11 = 5 and 21 − 16 = 5. The difference is always the same. The terms go up, so d is positive. The common difference is d = 5.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 11 − 6 = 5, 16 − 11 = 5 and 21 − 16 = 5. The difference is always the same. The terms go up, so d is positive. The common difference is d = 5.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 7, 8, 9, 10, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract each term from the next one: 3 − 1 = 2, 5 − 3 = 2 and 7 − 5 = 2. The difference is always the same. The terms go up, so d is positive. The common difference is d = 2.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 3 − 1 = 2, 5 − 3 = 2 and 7 − 5 = 2. The difference is always the same. The terms go up, so d is positive. The common difference is d = 2.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 5, 8, 11, 14, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract each term from the next one: 12 − 9 = 3, 15 − 12 = 3 and 18 − 15 = 3. The difference is always the same. The terms go up, so d is positive. The common difference is d = 3.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 12 − 9 = 3, 15 − 12 = 3 and 18 − 15 = 3. The difference is always the same. The terms go up, so d is positive. The common difference is d = 3.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 3, 8, 13, 18, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract each term from the next one: 14 − 10 = 4, 18 − 14 = 4 and 22 − 18 = 4. The difference is always the same. The terms go up, so d is positive. The common difference is d = 4.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 14 − 10 = 4, 18 − 14 = 4 and 22 − 18 = 4. The difference is always the same. The terms go up, so d is positive. The common difference is d = 4.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 4, 8, 12, 16, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract each term from the next one: 7 − 5 = 2, 9 − 7 = 2 and 11 − 9 = 2. The difference is always the same. The terms go up, so d is positive. The common difference is d = 2.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 7 − 5 = 2, 9 − 7 = 2 and 11 − 9 = 2. The difference is always the same. The terms go up, so d is positive. The common difference is d = 2.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 8, 10, 12, 14, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract each term from the next one: 13 − 9 = 4, 17 − 13 = 4 and 21 − 17 = 4. The difference is always the same. The terms go up, so d is positive. The common difference is d = 4.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 13 − 9 = 4, 17 − 13 = 4 and 21 − 17 = 4. The difference is always the same. The terms go up, so d is positive. The common difference is d = 4.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 11, 12, 13, 14, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract each term from the next one: 13 − 10 = 3, 16 − 13 = 3 and 19 − 16 = 3. The difference is always the same. The terms go up, so d is positive. The common difference is d = 3.
✓ Correct!
Not quite. The answer is
💡 Subtract each term from the next one: 13 − 10 = 3, 16 − 13 = 3 and 19 − 16 = 3. The difference is always the same. The terms go up, so d is positive. The common difference is d = 3.
💡 How to solve: Arithmetic Sequences: Find the Common Difference
The common difference is what you add to get from one term to the next. Subtract any term from the term after it: d = a_2 - a_1. If the sequence goes down, d is negative. If you know two terms far apart, divide the change by the number of steps between them.
Try a similar one
Find the common difference of the arithmetic sequence 4, 7, 10, 13, ...
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Arithmetic Sequences: Find the Common Difference — Easy Worksheet 1
Find the common difference d of each arithmetic sequence. It can be negative, like d = -3.