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What is the 4th term of the sequence defined by a_n = n^2 + 2n? (2023)
What is the 4th term of the sequence defined by a_n = n^2 + 2n? (2023)
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What is the 4th term of the sequence defined by a_n = n^2 + 2n? (2023)
24
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42
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For n = 4, a_4 = 4^2 + 2*4 = 16 + 8 = 24.
Questions & Step-by-step Solutions
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Q
Q: What is the 4th term of the sequence defined by a_n = n^2 + 2n? (2023)
Solution:
For n = 4, a_4 = 4^2 + 2*4 = 16 + 8 = 24.
Steps: 7
Show Steps
Step 1: Identify the formula for the sequence, which is a_n = n^2 + 2n.
Step 2: Determine the value of n for the 4th term, which is n = 4.
Step 3: Substitute n = 4 into the formula: a_4 = 4^2 + 2*4.
Step 4: Calculate 4^2, which is 16.
Step 5: Calculate 2*4, which is 8.
Step 6: Add the results from Step 4 and Step 5: 16 + 8 = 24.
Step 7: Conclude that the 4th term of the sequence is 24.
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