The taxi fare after each km when the fare is Rs $15$ for the first km and Rs $8$ for each additional km. Write the arithmetic progression thus formed.

Open in App

Solution

Finding the general fare sequence formed for each km
Taxi fare for the first km is $15$ Rs and then it increases by $8$ Rs for each km.
The first term $a = 15$ and common difference $d = 8$ .
First km fare $= 15$
Second km fare $= 15 + 8 \times (1) = 23$ ....... $1$ due to additional $1$ km travelled aside from the first km.
Third km fare $= 15 + 8 \times (2) = 31$ ....... $2$ due to additional $2$ km travelled aside from the first km.
Fourth km fare $= 15 + 8 \times (3) = 39$ ....... $3$ due to additional $3$ km travelled aside from the first km
Hence, the sequence becomes $15, 23, 31, 39 . . . . .$

Suggest Corrections

103

Similar questions

In which of the following situations, does the list of numbers involved make as 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.

(ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time.

(iii) The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.

(iv)The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8% per annum.

In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?
(i) The taxi fare after each $k m$ when the fare is $R s .15$ for the first $k m$ and $R s .8$ for each additional $k m$ .
(ii) The amount of air present in a cylinder when a vacuum pump removes $\frac{1}{4}$ of the air remaining in the cylinder at a time.
(iii) The cost of digging a well after every metre of digging, when it costs $R s .150$ for the first metre and rises by $R s .50$ for each subsequent metre.
(iv) The amount of money in the account every year, when $R s .10000$ is deposited at compound interest at $8 %$ per annum.

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.

Q. In which of the given situation, 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.

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.

Join BYJU'S Learning Program

The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. Write the arithmetic progression thus formed.

The taxi fare after each km when the fare is Rs $15$ for the first km and Rs $8$ for each additional km. Write the arithmetic progression thus formed.