Reason (simple and clear) - Elements of A grow exponentially because of 5n. - Elements of B grow linearly because 16(n−1). Exponential expressions rarely equal linear expressions except for very small values of n. Checking small n : - n=1 : A=51−4−1=0,B=16(0)=0⟶ match - n=2 : A=25−8−1=16,B=16(1)=16⟶ match - n=3 : A=125−12−1=112,B=16(2)=32⟶ no match - For larger n,5n grows too fast → no further matches. Thus, the intersection contains only a finite number of elements (in fact exactly two). So the correct conclusion: A∩B is a finite set