Final Answer:
Option b) 64 is the accurate response, and it earns an additional 3 points.
Step-by-step explanation:
In this question, the pattern among the options becomes evident upon closer examination. Each subsequent choice is the square root of the preceding one. Commencing with 4, the sequence unfolds as 4 → 16 → 64 → 256. Consequently, 64 represents the square of 8, aligning with the logical progression observed in the given options.
Awarding 3 extra points for the first correct response serves to incentivize swift and precise answers. This approach not only assesses the participants' comprehension but also encourages prompt and accurate decision-making. The incorporation of bonus points adds an element of competition, motivating individuals to exhibit both speed and accuracy in problem-solving.
In summary, option b) 64 is the correct choice, warranting an additional 3 points. This scoring methodology not only gauges participants' knowledge but also promotes an interactive and dynamic learning environment by valuing both the correctness and timeliness of their responses.