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What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)
What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)
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Q1
What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)
36
42
30
24
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For n = 6, a_6 = 6^2 + 6 = 36 + 6 = 42.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)
Solution:
For n = 6, a_6 = 6^2 + 6 = 36 + 6 = 42.
Steps: 6
Show Steps
Step 1: Identify the formula for the sequence, which is a_n = n^2 + n.
Step 2: Determine the value of n for the 6th term, which is n = 6.
Step 3: Substitute n = 6 into the formula: a_6 = 6^2 + 6.
Step 4: Calculate 6^2, which is 36.
Step 5: Add 6 to 36: 36 + 6 = 42.
Step 6: Conclude that the 6th term of the sequence is 42.
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