To find the third term of the given arithmetic sequence defined by the recursive formula \( a_1 = 15 \) and \( a_n = a_{n-1} + 22 \), we can calculate the terms step by step.
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The first term is given as: \[ a_1 = 15 \]
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To find the second term: \[ a_2 = a_1 + 22 = 15 + 22 = 37 \]
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To find the third term: \[ a_3 = a_2 + 22 = 37 + 22 = 59 \]
Thus, the third term \( a_3 \) is: \[ a_3 = 59 \]
Therefore, the answer is: a3=59