Question 6
The taxi fare after each km, when the fare is ₹ 15 for the first km and ₹ 8 for each additional km, does not form an AP as the total fare (in ₹) after each km is 15, 8, 8, 8, … Is the statement true? Give reasons.

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Solution

No, the given statement is not true because the total fare (in ₹) after each km is :
$15, (15 + 8), (15 + 2 \times 8), (15 + 3 \times 8), . . .$
$i . e 15, 23, 31, 39, \dots$
$L e t t_{1} = 15, t_{2} = 23, t_{3} = 31 a n d t_{4} = 39$
$N o w, t_{2} - t_{1} = 23 - 15 = 8$
$t_{3} - t_{2} = 31 - 23 = 8$
$t_{4} - t_{3} = 39 - 31 = 8$
Since, the difference between the consecutive terms is same, it is an AP.

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Q. 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, ...
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Q. In 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.

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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.

Question 1 (i)
In which of the following situations does the list of numbers involved make an arithmetic progression and why?
(i) The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

Question 1 (i)
In which of the following situations does the list of numbers involved make an arithmetic progression and why?
(i) The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

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Question 6 The taxi fare after each km, when the fare is ₹ 15 for the first km and ₹ 8 for each additional km, does not form an AP as the total fare (in ₹) after each km is 15, 8, 8, 8, … Is the statement true? Give reasons.

Question 6
The taxi fare after each km, when the fare is ₹ 15 for the first km and ₹ 8 for each additional km, does not form an AP as the total fare (in ₹) after each km is 15, 8, 8, 8, … Is the statement true? Give reasons.