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Find the 10th term of the sequence defined by a_n = 3n^2 + 2n.
Find the 10th term of the sequence defined by a_n = 3n^2 + 2n.
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Practice Questions
1 question
Q1
Find the 10th term of the sequence defined by a_n = 3n^2 + 2n.
320
302
290
310
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a_10 = 3(10^2) + 2(10) = 300 + 20 = 320.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the 10th term of the sequence defined by a_n = 3n^2 + 2n.
Solution:
a_10 = 3(10^2) + 2(10) = 300 + 20 = 320.
Steps: 7
Show Steps
Step 1: Identify the formula for the sequence, which is a_n = 3n^2 + 2n.
Step 2: Substitute n with 10 in the formula to find the 10th term: a_10 = 3(10^2) + 2(10).
Step 3: Calculate 10^2, which is 100.
Step 4: Multiply 3 by 100 to get 300.
Step 5: Calculate 2 times 10, which is 20.
Step 6: Add the results from Step 4 and Step 5: 300 + 20.
Step 7: The final result is 320, which is the 10th term of the sequence.
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