Question

say three examples for finite arithmetic progression and three infinite geometric progression with examples with about some
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Answer 1

arithmetic progression:

2, 4, 6, 8, \dots 2,4,6,8,… is an arithmetic sequence with the common difference 2.

Infinite geometric progression:

the sequence 1, 2, 4, 8, 16, 32… is a geometric sequence with a common ratio of r = 2.