Short Answer TypeIn which of the following situations, does the list of numbers involved make an arithmetic progression, and why?
The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.
Taxi fare for 1 km = Rs. 15 = a1 Taxi fare for 2 kms
= Rs. 15 + Rs. 8 = Rs. 23 = a2 Taxi fare for 3 kms
= 23 + Rs. 8 = Rs. 31 = a3 Taxi fare for 4 kms
= Rs. 31 + Rs. 8 = Rs. 39 = a4
and so on.
a2 – a1 = Rs. 23 – Rs. 15 = Rs. 8
a3 – a2 = Rs. 31 – Rs. 23 = Rs. 8
a4 – a3 = Rs. 39 – Rs. 31 = Rs. 8
i.e., ak + 1 – ak is the same every time.
So, this list of numbers form an arithmetic progression with the first term a = Rs. 15 and the common difference d = Rs. 8.
of the air remaining in the cylinder at a time.Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a – 10, d = 10
Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = –2, d = 0
Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = 4, d = – 3
Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = – 1, d = 
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