• NEET
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • Class 6-10
      • Class 6th
      • Class 7th
      • Class 8th
      • Class 9th
      • Class 10th
    • View All Options
      • Online Courses
      • Distance Learning
      • Hindi Medium Courses
      • International Olympiad
    • NEET
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE (Main+Advanced)
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE Main
      • Class 11th
      • Class 12th
      • Class 12th Plus
  • Classroom
    • NEET
      • 2025
      • 2024
      • 2023
      • 2022
    • JEE
      • 2025
      • 2024
      • 2023
      • 2022
    • Class 6-10
    • JEE Main
      • Previous Year Papers
      • Sample Papers
      • Result
      • Analysis
      • Syllabus
      • Exam Date
    • JEE Advanced
      • Previous Year Papers
      • Sample Papers
      • Mock Test
      • Result
      • Analysis
      • Syllabus
      • Exam Date
    • NEET
      • Previous Year Papers
      • Sample Papers
      • Mock Test
      • Result
      • Analysis
      • Syllabus
      • Exam Date
      • College Predictor
      • Counselling
    • NCERT Solutions
      • Class 6
      • Class 7
      • Class 8
      • Class 9
      • Class 10
      • Class 11
      • Class 12
    • CBSE
      • Notes
      • Sample Papers
      • Question Papers
    • Olympiad
      • NSO
      • IMO
      • NMTC
  • NEW
    • TALLENTEX
    • AOSAT
  • ALLEN E-Store
    • ALLEN for Schools
    • About ALLEN
    • Blogs
    • News
    • Careers
    • Request a call back
    • Book home demo
Home
Class 10
MATHS
Find the 20th term of the AP whose 3rd t...

Find the 20th term of the AP whose 3rd term is 7 and the 7 term exceeds three times the third term by 2. Also find its nth term `a_n` .

To view this video, please enable JavaScript and consider upgrading to a web browser thatsupports HTML5 video

Text Solution

Verified by Experts

The correct Answer is:
`a_(20)=75,a_(n)=4n-5`
Doubtnut Promotions Banner Desktop LightDoubtnut Promotions Banner Desktop DarkDoubtnut Promotions Banner Mobile LightDoubtnut Promotions Banner Mobile Dark

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.1|28 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.2|30 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise OTHER IMPORTANT EXAMPLES|13 Videos
  • AREAS RELATED TO CIRCLES

    KUMAR PRAKASHAN|Exercise Objective Questions|25 Videos
  • CIRCLE

    KUMAR PRAKASHAN|Exercise Objective Questions (True & False)|4 Videos

Similar Questions

Explore conceptually related problems

Determine the AP whose 3rd term is 5 and the 7th term is 9.

Determine the AP whose 3rd term is 5 and the 7th term is 9.

Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.

Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12 .

Find the 31th term of an AP whose 11th term is 38 and the 16th term is 73.

Find the 9^(th) term of the G.P. whose 3^(rd) term is 18 and 6^(th) term is 486.

Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

find the 10th term of the AP : 5,1,-3,7,……

Find the 10th term of the AP : 2 , 7, 12 ......

Find the 12th term of a G.P. whose 8th term is 192, and the common ratio is 2.

KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-TEST YOUR SKILLS
  1. Find the number of odd integers between 2 and 100 which are divisible ...

    02:41

    |

  2. The sum of 5th and 7th terms of an AP is 52 and the 10th term is 46 . ...

    01:56

    |

  3. Find the 20th term of the AP whose 3rd term is 7 and the 7 term exceed...

    03:10

    |

  4. The first and the last term of an AP are 7 and 49 respectively. If th...

    02:59

    |

  5. Find : Sum of those integers between 1 and 500 which are multiples...

    02:31

    |

  6. Find : Sum of those integers from 1 to 500 which are multiples of ...

    02:19

    |

  7. Find : Sum of those integers from 1 to 500 which are multiples of ...

    03:57

    |

  8. The sum of first seven terms of an AP is 182. If its 4th and the 17th ...

    02:07

    |

  9. If the sum of first n terms of an AP is 1/2 (3n^(2) + 7n) , then find ...

    02:53

    |

  10. If Sn denotes the sum of first n terms of an AP, prove that S(12) = 3...

    03:06

    |

  11. The ratio of the sum of first n terms of two APs is (7n + 1): (4n + 27...

    02:55

    |

  12. A man repays a loan of Rs 3250 by paying Rs 20 in the first month and ...

    02:13

    |

  13. If the 12th term of an AP is -13 and the sum of its first four terms i...

    03:43

    |

  14. Kartikay repays his total loan of Rs 1,18,000 by repaying every month....

    03:04

    |

  15. The 9th term of an AP is equal to 6 times the second term. If its 5th ...

    02:48

    |

  16. The sum of the first 7 terms of an AP is 63 and the sum of its next 7 ...

    04:12

    |

  17. Which term of the AP 75, 72, 69, ... is its first negative term ? If i...

    03:35

    |

  18. Three numbers in AP have the sum 18 and the sum of their squares is 18...

    04:06

    |

  19. Find four consecutive terms in AP whose sum is 20 and the sum of whose...

    02:42

    |

  20. Ramkali required Rs 2500 after 12 weeks to send her daughter to school...

    02:39

    |

Home
Profile
|