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प्रश्न
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.
विकल्प
True
False
उत्तर
This statement is False.
Reasons:
Because the total fare (in ?) after each km is
15,(15 + 8), (15 + 2 × 8), (15 + 3 × 8),... = 15, 23, 31, 39,...
Let t1 = 15, t2 = 23, t3 = 31 and t4 = 39
Now, t2 – t1 = 23 – 15 = 8
t3 – t2 = 31 – 23 = 8
t4 – t3 = 39 – 31 = 8
Since, all the successive terms of the given list have same difference
i.e., common difference = 8
Hence, the total fare after each km form an AP.
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