Home
Class 10
MATHS
given d = 5, S9 = 75, find a and a9....

given `d = 5, S_9 = 75`, find `a and a_9`.

Text Solution

Verified by Experts

The correct Answer is:
`a_(9)=85/3`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION EXERCISE 5.4|5 Videos

  • ARITHMETIC PROGRESSIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MULTIPLE CHOICE QUESTION )(LEVEL 1 )|35 Videos

  • ARITHMETIC PROGRESSIONS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION EXERCISE 5.2|26 Videos

  • AREAS RELATED TO CIRCLES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|30 Videos

  • CIRCLES

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|30 Videos

Similar Questions

Explore conceptually related problems

In an A.P. : (i) given a=5, d=3, a_(n)=50 , find n and S_(n) . (ii) given a=2, d=8, S_(n)=90 , find n and a_(n) . (iii) given a=3, n=8, S_(n)=192 , find d. (iv) given l=28, S=144, n=9 , find a.

In an A. P. : given l = 28, S = 144, and there are total 9 terms Find a.

In the adjoining figure, AB abs() CD abs() EF. If AC = 5.4, CE = 9, BD = 7.5, then find DF.

In an accident, a car falls into a valley and reach to the ground in 0.5 s (given g = 9.8 m//s^2 ). Find the average speed during the 0.5 s.

Given A={2, 3, 5, 9} and B={3, 4, 9, 12} . Find A nn B .

Given l=28,S=144, and there are total 9 terms.Find a

Find the are of quadrilateral ABCD whose vertices are A(3, -1), B(9, -5), C(14, 0) and D(9, 19).

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in 9 1/5d a y s b. 9 2/5d a y s c. 10 d a y s d. 9 3/5d a y s

MTG IIT JEE FOUNDATION-ARITHMETIC PROGRESSIONS -NCERT SECTION EXERCISE 5.3
  1. In an A.P: given a(12)=37, d = 3, find a and S(12)

    Text Solution

    |

  2. given: a3=15,S[10]=125, find d and a[10]

    Text Solution

    |

  3. given d = 5, S9 = 75, find a and a9.

    Text Solution

    |

  4. In an A.P: given a = 2 , d = 8 , S(n)= 90, find n and a(n).

    Text Solution

    |

  5. In an A.P: given a = 8 , a(n)= 62, S(n) = 210 ,find n and d .

    Text Solution

    |

  6. In an A.P: given a(n) = 4 , d = 2 , S(n) = -14 , find n and a .

    Text Solution

    |

  7. In an A.P: given a = 3 , n = 8 ,S= 192 ,find d .

    Text Solution

    |

  8. In an A.P: given l = 28 , S= 144 , and there are total 9 terms . Fin...

    Text Solution

    |

  9. How many terms of the A.P: 9,17,25 ,……. must be taken to give a sum of...

    Text Solution

    |

  10. The first term of an A.P. is 5 , the last term is 45 and the sum is 40...

    Text Solution

    |

  11. The first and the last terms of an A.P. are 17 and 350 respectively .i...

    Text Solution

    |

  12. Find the sum of first 22 terms of an A.P. in which d = 7 and 22^(nd) t...

    Text Solution

    |

  13. Find the sum of first 51 terms of an AP whose second and third terms ...

    Text Solution

    |

  14. If the sum of first 7 terms of an AP is 49 and that of 17 terms is ...

    Text Solution

    |

  15. Show that a1,""""a2,""""dot""dot""""dot,""an ,""dot""""dot""""dot form...

    Text Solution

    |

  16. Show that a1,""""a2,""""dot""dot""""dot,""an ,""dot""""dot""""dot form...

    Text Solution

    |

  17. If the sum of the first n terms of an AP is 4n-n^2, what is the first ...

    Text Solution

    |

  18. Find the sum of the first 40 positive integers divisible by 6.

    Text Solution

    |

  19. Find the sum of the first 15 multiples of 8

    Text Solution

    |

  20. Find the sum of the odd numbers between 0 and 50.

    Text Solution

    |