1. **Stating the problem:** Find the next term in each sequence: a) 16, 25, 36, 49, ... b) 8, 27, 64, 125, ... 2. **Analyzing sequence a):** These numbers look like perfect squares: $$16 = 4^2, \quad 25 = 5^2, \quad 36 = 6^2, \quad 49 = 7^2$$ The pattern is squares of consecutive integers starting from 4. 3. **Finding the next term in sequence a):** The next integer after 7 is 8, so the next term is: $$8^2 = 64$$ 4. **Analyzing sequence b):** These numbers look like perfect cubes: $$8 = 2^3, \quad 27 = 3^3, \quad 64 = 4^3, \quad 125 = 5^3$$ The pattern is cubes of consecutive integers starting from 2. 5. **Finding the next term in sequence b):** The next integer after 5 is 6, so the next term is: $$6^3 = 216$$ **Final answers:** - Next term in sequence a) is $64$. - Next term in sequence b) is $216$.