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Answer:
66
Step-by-step explanation:
To find the 10th term of an arithmetic sequence, we can use the formula:
a_n = a_1 + (n-1)d
where:
- a_n is the nth term of the sequence
- a_1 is the first term of the sequence
- n is the term number we want to find
- d is the common difference of the sequence
Given:
- a_1 = 3 (first term)
- d = 7 (common difference)
- n = 10 (we want to find the 10th term)
Substitute the values into the formula:
a_{10} = 3 + (10-1) 7
a_{10} = 3 + 9 × 7
a_{10} = 3 + 63
a_{10} = 66
Therefore, the 10th term of the arithmetic sequence with a first term of 3 and a common difference of 7 is 66.