Question

Assertion (A) : Common difference of the AP : 5, 1, – 3, – 7, ... is 4. Reason (R) : Common difference of the AP : a₁, a₂, a₃, ..., aₙ is obtained by d = aₙ – aₙ₋₁.

Cable cars at hill stations are one of the major tourist attractions. On a hill station, the length of cable car ride from base point to top most point on the hill is 5000 m. Poles are installed at equal intervals on the way to provide support to the cables on which car moves. The distance of first pole from base point is 200 m and subsequent poles are installed at equal interval of 150 m. Further, the distance of last pole from the top is 300 m. Based on above information, answer the following questions using Arithmetic Progression :

The nth term of an A.P. is given by an = 3 + 4n. The common difference is

If p, q, r and s are in A.P. then r – q is