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What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
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Q1
What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
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The nth term is given by 2 + (n-1) * 3. For n=10, it is 2 + 27 = 29.
Questions & Step-by-step Solutions
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Q
Q: What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
Solution:
The nth term is given by 2 + (n-1) * 3. For n=10, it is 2 + 27 = 29.
Steps: 8
Show Steps
Step 1: Identify the first term of the sequence. The first term is 2.
Step 2: Identify the common difference between the terms. The difference between 5 and 2 is 3 (5 - 2 = 3).
Step 3: Write the formula for the nth term of an arithmetic sequence. The formula is: first term + (n - 1) * common difference.
Step 4: Substitute the values into the formula. For the 10th term (n = 10), it becomes: 2 + (10 - 1) * 3.
Step 5: Calculate (10 - 1) which is 9.
Step 6: Multiply 9 by the common difference (3). So, 9 * 3 = 27.
Step 7: Add this result to the first term. So, 2 + 27 = 29.
Step 8: Conclude that the 10th term of the sequence is 29.
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