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What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
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Q1
What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
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The common difference is 3. The 5th term is 2 + 4*3 = 14.
Questions & Step-by-step Solutions
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Q: What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
Solution:
The common difference is 3. The 5th term is 2 + 4*3 = 14.
Steps: 10
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Step 1: Identify the first term of the sequence. The first term is 2.
Step 2: Identify the second term of the sequence. The second term is 5.
Step 3: Calculate the common difference by subtracting the first term from the second term: 5 - 2 = 3.
Step 4: Identify the position of the term we want to find. We want the 5th term.
Step 5: Use the formula for the nth term of an arithmetic sequence: nth term = first term + (n - 1) * common difference.
Step 6: Plug in the values: 5th term = 2 + (5 - 1) * 3.
Step 7: Simplify the equation: 5th term = 2 + 4 * 3.
Step 8: Calculate 4 * 3 = 12.
Step 9: Add 2 + 12 = 14.
Step 10: The 5th term in the sequence is 14.
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