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  • 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 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.

Answers (1)

Answer.          [True]

Solution.        

\text{Given series is } 15, 8, 8, 8, \ldots \\ \text{Here } a_1 = 15, \quad a_2 = 8, \quad a_3 = 8, \quad a_4 = 8 \\ a_2 - a_1 = 8 - 15 = -7 \\ a_3 - a_2 = 8 - 8 = 0 \\ a_4 - a_3 = 8 - 8 = 0

Here difference of the successive terms is not same hence it does not form an AP

Therefore given statement is true.

Posted by

infoexpert21

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