The taxi fare after each km, when the fare is Rs. 15 for the first km and Rs 8 for each additional km, does not form an AP as the total fare (in Rs.) after each km is `15,8,8,8, … .` Is the statement true? Give reasons.

The taxi fare after each km, when the fare is Rs. 15 for the first km

1.	The taxi fare after each km, when the fare is Rs. 15 for the first km and Rs 8 for each additional km, does not form an AP as the total fare (in Rs.) after each km is `15,8,8,8, … .` Is the statement true? Give reasons.
Answer» No. Fare after each km, (in Rs. )is `15,15+8,15+2xx8,15+3xx8,...=15,23,31,39,...` Given series is 15, 8,8,8,... Here `a_(2)-a_(1)=8-15=-7` `a_(3)-a_(2)=8-8=0` `a_(2)-a_(1)!=A_(3)-a_(2)` `:.` It is not an A.P.