Answer :

(i) The cost of digging a well for the first metre = Rs. 150


The cost of digging a well for the second metre = 150 + 20 = Rs. 170


The cost of digging a well for the third metre = 170 + 20 = Rs. 190


The cost of digging a well for the fourth metre = 190 + 20 = Rs. 210


Difference between first and second metre = 170 – 150 = 20


Difference between second and third metre = 190 – 170 = 20


Difference between third and fourth metre = 210 – 190 = 20


Since, all the differences are equal. Therefore, it’s an A.P.


(ii) Let the amount of air present in the cylinder first time = x


Amount of air present in the cylinder second time = x - =


Amount of air present in the cylinder third time = - =


Difference in the amount of air present in the cylinder between first and the second time = – x =


Difference in the amount of air present in the cylinder between second and the third time = -


=


Since, the differences are unequal. Therefore, it’s not an A.P.


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