The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time.

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Question 1 (ii)
In which of the following situations does the list of numbers involved make an arithmetic progression and why?
(ii) The amount of air present in a cylinder when a vacuum pump removes $\frac{1}{4}$ of the air remaining in the cylinder at a time.

Q. Verify if the sequence of numbers formed will form an AP or not.

1- The amount of air present in the cylinder when a vacuum pump removes each time 1/4 of air remaining in the cylinder.
2- Divya deposited ₹1000 at compound interest at the rate of 10% per annum. The amount at the end of first year, second year, third year,....., and so on.

Q. In which of the following situations, the sequence of numbers formed will form an

A . P

?
(i) The cost of digging a well for the first metre is

R s .150

and rises by

R s . 20

for each succeeding metre
(ii) The amount of air present in the cylinder when a vacuum pump removes each time

\frac{1}{4}

of their remaining in the cylinder.

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.

Q. In which of the following situations, the sequence of numbers formed will form an A.P.?

(i) The cost of digging a well for the first metre is Rs 150 and rises by Rs 20 for each succeeding metre.

(ii) The amount of air present in the cylinder when a vacuum pump removes each time

\frac{1}{4}

of their remaining in the cylinder.

Q

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