Which one of the following situations cannot be represented by an arithmetic progression?

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Problem

Which one of the following situations cannot be represented by an arithmetic progression? (a) Perimeter of regular pentagons with side length increasing by 1 cm1\,\text{cm} each time (25 cm, 30 cm, 35 cm, …)(25\,\text{cm},\,30\,\text{cm},\,35\,\text{cm},\,\ldots) (b) Number of matchsticks needed to make successive squares in a row (4, 7, 10, …)(4,\,7,\,10,\,\ldots) (c) Population of a bacterium culture that doubles every hour (200, 400, 800, …)(200,\,400,\,800,\,\ldots) (d) Distance covered by a car moving at constant speed each hour (60 km, 120 km, 180 km, …)(60\,\text{km},\,120\,\text{km},\,180\,\text{km},\,\ldots)

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