**(i) The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.**

**(ii) The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8% per annum.**

**Solution(i):**

The provided condition can be written as follows:

Cost of digging a well for the first metre = Rs.150

Digging a well for the first 2 metres costs Rs.150+50 = Rs.200.

Digging a well for the first 3 metres costs Rs.200+50 = Rs.250.

Digging a well for the first 4 metres costs Rs.250+50 = Rs.300.

And so forth.

**Solution(ii):**

We know that if Rs. P is deposited for n years at r percent compound interest, the total amount will be:

P(1+r/100)^{n}

As a result, at the end of each year, the quantity of money will be:

10000(1+8/100), 10000(1+8/100)^{2}, 10000(1+8/100)^{3}……

Clearly, there is no common distinction between the terms in this sequence. As a result, this isn’t an A.P.