Home
Class 10
MATHS
The taxi fare after each km, when the fa...

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.

Text Solution

Verified by Experts

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.
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 5a|5 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 5b|23 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Question|5 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Question|5 Videos

  • CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|2 Videos

Similar Questions

Explore conceptually related problems

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. (ii) The amount of air present in a cylinder when a vacuum pump removes 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 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 10000 is deposited at compound interest at 8 % per annum.

The cost of digging a well for the first metre is Rs 150 and rises by Rs 20 for each succeeding metre. Will the sequence form an A.P. ?

The taxi fare in a city is as follows: For the first kilometre, the fare is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw it's graph

The taxi fare in a city is as follows: For the first kilometre, the fare is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.

A three-wheeler scooter charges 15 for first kilometer and 8 each for every subsequent kilometer. For a distance of x km, an amount of y is paid. Write the equation representing the above information

A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are 18 in number.The picnic site is 55 km from the school and the transport company is charging at the rate of Rs 12 per km. The total cost of refreshments will be Rs 4280. Can you tell.1. The ratio of the number of girls to the number of boys in the class?2. The cost per head if two teachers are also going with the class?3. If their first stop is at a place 22 km from the school, what per cent of the total distance of 55 km is this? What per cent of the distance is left to be covered?

A man saved Rs. 16500 in ten years. In each year after the first he saved Rs. 100 more than be did in the receding year. How many did he save in the first year?

A man saved Rs. 16500 in ten years. In each year after the first he saved Rs. 100 more than be did in the receding year. How many did he save in the first year?

State true or false in each of the following statements. The inverse of 8 under division is 1/8 .

A man borrowed Rs. 8000 from a bank at 8% per annum. Find the amount he has to pay after 4 1/2 years.

NAGEEN PRAKASHAN ENGLISH-ARITHMETIC PROGRESSION-Problem From NCERT/exemplar
  1. An AP consists of 50 terms of which 3rd term is 12 and the last term ...

    Text Solution

    |

  2. In the following A.P.'s, find the missing terms in the boxes.

    Text Solution

    |

  3. The sum of the 4th and 8th terms of an AP is 24 and the sum of the ...

    Text Solution

    |

  4. If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th ter...

    Text Solution

    |

  5. If the first term of an AP is -5 and the common difference is 2, then ...

    Text Solution

    |

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

    Text Solution

    |

  7. The 26th, 11th and the last terms of an AP are, 0, 3 and -(1)/(5),resp...

    Text Solution

    |

  8. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

    Text Solution

    |

  9. The first term of an AP is -5 and the last term is 45. If the sum of t...

    Text Solution

    |

  10. The sum of the first five terms of an AP and the sum of the first seve...

    Text Solution

    |

  11. The eighth term of an AP is half its second term and the eleventh term...

    Text Solution

    |

  12. A sum of Rs 700 is to be used to give seven cash prizes to students...

    Text Solution

    |

  13. A contract on construction job specifies a penalty for delay of com...

    Text Solution

    |

  14. For the AP -3, -7, -11, … can we find directly a(30)-a(20) without ac...

    Text Solution

    |

  15. Find the sum of the two middle most terms of an AP -(4)/(3), -1, -(2)/...

    Text Solution

    |

  16. The ratio of the 11th term to the 18th term of an AP is 2 : 3. Find th...

    Text Solution

    |

  17. Jaspal Singh repays his total loan of Rs. 118000 by paying every month...

    Text Solution

    |

  18. An AP consists of 37 terms. The sum of the three middle most terms is ...

    Text Solution

    |

  19. Find the sum of all the 11 terms of an AP whose middle most term is 30...

    Text Solution

    |

  20. The students of a shool decided to beautifly the school on the annual ...

    Text Solution

    |