Final answer:
A set is a collection of distinct objects, while a sequence is an ordered list of objects. A geometric progression is a sequence where each term is found by multiplying the previous term by a common ratio, while an arithmetic progression is a sequence where each term is found by adding a common difference to the previous term.
Step-by-step explanation:
A set is a collection of distinct objects, while a sequence is an ordered list of objects. In a set, the order does not matter, but in a sequence, the order is important.
A geometric progression is a sequence of numbers where each term is found by multiplying the previous term by a common ratio. For example, 2, 4, 8, 16, ... is a geometric progression with a common ratio of 2.
An arithmetic progression is a sequence of numbers where each term is found by adding a common difference to the previous term. For example, 3, 6, 9, 12, ... is an arithmetic progression with a common difference of 3.