Home
Class 10
MATHS
The 2nd term of an AP is 13 and its 5th ...

The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th term?

A

69

B

73

C

77

D

81

Text Solution

Verified by Experts

The correct Answer is:
B
`a+d = 13 " "…(i) " and" a+4d = 25 " "….(ii)`
From (i) and (ii), we get a = 9 and d = 4.
`therefore T_(17) = (a+16d) = (9+16 xx 4) = 73.`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    RS AGGARWAL|Exercise Exercise 5D|27 Videos

  • AREA OF CIRCLE, SECTOR AND SEGMENT

    RS AGGARWAL|Exercise Test Yourself|19 Videos

  • CIRCLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

Similar Questions

Explore conceptually related problems

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

If the 2^(nd) term of an A.P. is 13 and the 5^(th) term is 25, what is its 7 ^(th) term ?

The 6 th term of an AP is 20 and its 11 th term is 35. Find the 25 th term of the AP.

The 4^(th) term of an A.P. is 14 and its 12^(th) term is 70 . What are first term and common difference ?

The 7th term of an AP is -1 and its 16th term is 17. The nth term of the AP is

The sum of 5th and 9th terms of an A.P. is 30. If its 25th term is three times its 8th term, find the A.P.

The sum of the 2nd and the 7th terms of an AP is 30. If its 15th term is 1 less than twice its 8th term, find the AP.

The 7th term of an A.P.is 32 and its 13th term is 62. Find the A.P.

If the 2^(nd) term of an A.P. is 8 and the 5 ^(th) term is 17, find its 19^(th) term.

The 7th term of an AP is -4 and its 13th term is -16.Find the AP.

RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 6...

    Text Solution

    |

  2. The 13^(th) term of an AP is 4 times its 3^(rd) term. If its 5^(th) te...

    Text Solution

    |

  3. An AP 5, 12, 19, … has 50 terms. Its last term is

    Text Solution

    |

  4. The sum of first 20 odd natural numbers is

    Text Solution

    |

  5. The sum of first 40 positive integers divisible by 6 is

    Text Solution

    |

  6. How many two -digit numbers are divisible by 3?

    Text Solution

    |

  7. How many three-digit numbers are divisible by 9?

    Text Solution

    |

  8. What is the common difference of an AP in which a(18)-a(14) = 32?

    Text Solution

    |

  9. If a(n) denotes the nth term of the AP 3, 18, 13, 18,… then what is th...

    Text Solution

    |

  10. Which term of the AP 72, 63, 54, … is 0?

    Text Solution

    |

  11. Which term of the AP 25, 20, 15,…. Is the first negative term?

    Text Solution

    |

  12. Which term of the AP 21, 42, 63, 84,.. Is 210?

    Text Solution

    |

  13. What is 20th term from the end of the AP 3, 8, 13, …, 253?

    Text Solution

    |

  14. (5+13+21+…+181)=?

    Text Solution

    |

  15. The sum of first 16 terms of the AP 10, 6, 2 … is

    Text Solution

    |

  16. How many terms of the AP 3, 7, 11, 15,…. Will make the sum 406?

    Text Solution

    |

  17. The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th t...

    Text Solution

    |

  18. The 17th term of an AP exceeds its 10th term by 21. The common differe...

    Text Solution

    |

  19. The 8th term of an AP is 17 and its 14th term is 29. The common differ...

    Text Solution

    |

  20. The 7th term of an AP is 4 and its common difference is -4. What is it...

    Text Solution

    |