In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i)The amount of air present in a cylinder when a vacuum pump removes (14)th of the air remaining in the cylinder at a time. (ii)The cost of digging a well after every meter of digging, when it costs Rs 150 for the first meter and rises by Rs 50 for each subsequent meter.

In which of the following situations, does the list of numbers involve

1.	In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i)The amount of air present in a cylinder when a vacuum pump removes (14)th of the air remaining in the cylinder at a time. (ii)The cost of digging a well after every meter of digging, when it costs Rs 150 for the first meter and rises by Rs 50 for each subsequent meter.
Answer» In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i)The amount of air present in a cylinder when a vacuum pump removes ( $\frac{1}{4})^{t h}$ of the air remaining in the cylinder at a time. (ii)The cost of digging a well after every meter of digging, when it costs Rs 150 for the first meter and rises by Rs 50 for each subsequent meter.