1. The problem is to find three more terms of the sequence: $1^1, 5^2, 7^2, 73, \ldots$ and check if it forms an arithmetic progression (AP). 2. First, evaluate the given terms: - $1^1 = 1$ - $5^2 = 25$ - $7^2 = 49$ - The fourth term is $73$ 3. Check if these terms form an AP by finding the differences between consecutive terms: - $25 - 1 = 24$ - $49 - 25 = 24$ - $73 - 49 = 24$ Since the common difference $d = 24$, the sequence is an AP. 4. To find the next three terms, add $24$ to the last term repeatedly: - Fifth term: $73 + 24 = 97$ - Sixth term: $97 + 24 = 121$ - Seventh term: $121 + 24 = 145$ 5. Therefore, the next three terms of the AP are $97, 121, 145$. Final answer: $97, 121, 145$