Home
Class 12
MATHS
If the sum of first 75 terms of an AP i...

If the sum of first 75 terms of an AP is 2625, then the 38th term of an AP is

A

39

B

37

C

36

D

35

Text Solution

Verified by Experts

The correct Answer is:
D
Let first term and common difference of AP be a and d, respectively
Given , ` S_(75) = 2625`
` Rightarrow 2625 = 75/2 [ 2.a + (75-1)d]`
` Rightarrow 2625.2 = 75 [2a+ 74d] `
35.2 =2 [a + 37d ]
a + 37b = 35
a + ( 38 +1 ) d = 35
`T_(38) = 35`
Promotional Banner

Topper's Solved these Questions

  • PLANE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|9 Videos

  • PRACTICE SET 02

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics )|50 Videos

Similar Questions

Explore conceptually related problems

If the sum of five terms of an A.P. is 75, then find the third term of the A.P.

If the sum of first 14 terms of an A.P. is 1050 and its first term is 10, find the 20^(th) term.

The sum of first 9 terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1:2 . Find the first and 15 t h term of the A.P.

If the sum of first 7 terms of an A.P is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P

If the sum of first 7 terms of an A.P. is 49 and that of its 17 terms is 289, find the sum of first n terms of the A.P.

Obtain the sum of the first 56 terms of an A.P. whose 19th and 38th terms are 52 and 148 respectively.

If the sum of 12th and 22nd terms of an AP is 100 then the sum of the first 33 terms of an AP is

If the sum of the first four terms of an AP is 40 and the sum of the first fourteen terms of an AP is 280. Find the sum of first n terms of the A.P.

The sum of first n terms of an AP is (3n^2+6n) Find the n^(th) term and 15^(th) terms of the AP

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 01-Paper 2 (Mathematics)
  1. Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9(,(3,12),(3,6)} be relatio...

    Text Solution

    |

  2. The domain of the function f(x)= sqrt(cos x) is

    Text Solution

    |

  3. If the sum of first 75 terms of an AP is 2625, then the 38th term of ...

    Text Solution

    |

  4. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  5. A straight line perpendicular to the line 2x +y =3 is passing through ...

    Text Solution

    |

  6. The solutions of the equation 4cos^(2) + 6 sin^(2) x =5 are

    Text Solution

    |

  7. int(a)^(b) sqrt((x-a)(b-x)) dx, (b gt a) is equal to

    Text Solution

    |

  8. The valueof integral int(0)^(4) |x -1|dx is

    Text Solution

    |

  9. lim(n to oo) 1/n sum(r=1)^(2n) r/(sqrt(n^(2)+r^(2))) equals

    Text Solution

    |

  10. If in DeltaABC , a = 4,b=3, A = 60^(@) then c is a root of the equati...

    Text Solution

    |

  11. If A = [ a,b] , B = [ - b, -a] and C = [ overset(a) underset(-a).] t...

    Text Solution

    |

  12. Let p and q be two statement s, then ( p v q) v ~ p is

    Text Solution

    |

  13. If a + b + c = 0 and |a| = 1, |b| = 1, |c| = sqrt3 ,then the angle be...

    Text Solution

    |

  14. Which of the term is not used in a linear programming problem ?

    Text Solution

    |

  15. The function f(x) = a sin x + 1/3 sin 3x has maximum value at x = pi...

    Text Solution

    |

  16. The equation of the normal to the curve y=sin x cos x " at " x=(pi)/(2...

    Text Solution

    |

  17. The function x^x is increasing when

    Text Solution

    |

  18. int(0)^(pi//2) (dx)/(1+root(3)(tanx)) is equal to

    Text Solution

    |

  19. The value of int(-pi//4)^(pi//4) x^(3) sin^(4) x dx is equal to

    Text Solution

    |

  20. Area bounded by the curves y = x ,y = tanx and x = pi/4 is

    Text Solution

    |