What is the 12th term of the arithmetic sequence where the first term is 7 and t

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Question: What is the 12th term of the arithmetic sequence where the first term is 7 and the common difference is 5?

Options:

Correct Answer: 62

Solution:

Using the formula a_n = a + (n-1)d, we have a_12 = 7 + (12-1) * 5 = 7 + 55 = 62.

What is the 12th term of the arithmetic sequence where the first term is 7 and the common difference is 5?

What is the 12th term of the arithmetic sequence where the first term is 7 and the common difference is 5?

Step 1: Identify the first term of the sequence, which is given as 7.
Step 2: Identify the common difference of the sequence, which is given as 5.
Step 3: Identify the term number we want to find, which is the 12th term (n = 12).
Step 4: Use the formula for the nth term of an arithmetic sequence: a_n = a + (n-1)d.
Step 5: Substitute the values into the formula: a_12 = 7 + (12-1) * 5.
Step 6: Calculate (12-1) which equals 11.
Step 7: Multiply 11 by the common difference (5): 11 * 5 = 55.
Step 8: Add this result to the first term: 7 + 55 = 62.
Step 9: Conclude that the 12th term of the sequence is 62.

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