In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? The amount of air present in a cylinder when a vacuum pump removes 14th of the air remaining in the cylinder at a time.
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Step-by-step explanation:
Cost of digging 1 meter of well = Rs 150
Cost of digging 2 meters of well = 150 + 50 = Rs 200
Cost of digging 3 meters of well = 200 + 50 = Rs 250
Therefore, we get a sequence of the form 150, 200, 250…
It is an arithmetic progression because difference between any two consecutive terms is equal. (200 – 150 = 250 – 200 = 50…)
Here, difference between any two consecutive terms which is also called common difference is equal to 50.
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