Home
Class 12
MATHS
The sum of common terms of the following...

The sum of common terms of the following three arithmetic progressions.
3,7,11,15,………,399
2,5,8,11,………,359 and
2,7,12,17,………,197
is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

Find the sum of indicated number of terms of the following arithmetic progression: 16,11,6,………….23 terms.

Find the sum of the following arithmetic progression: 3,9/3,15/2,.. to terms.

Find the 12 th term from the end of the following arithmetic progression: 3,5,7,9..201

Sum of the first hundred numbers common to the arithmetic progression 12, 15, 18, …………… and 17, 21, 25,………. Is

The number of terms in arithmetics series 7, 11, 15,...,139 is

The middle term of arithmetic series 3, 7, 11...147, is

Find the sum of the following arithmetic progressions: 50,46,42, to 10 terms (ii) 1,3,5,7, to 12 terms (iii) 3,9/2,6,15/2,dots to 25 terms

Find the 10th common term between the arithmetic series 3+ 7+ 11+ 15+ …… and 1+6+11+16+…..

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. The area of the region {(x,y): xy le 8,1 le y le x^(2)} is :

    Text Solution

    |

  2. Let alpha x = exp(x^(beta) y ^(gamma )) be the solution of differentia...

    Text Solution

    |

  3. Let a, b be two real numbers such that ab lt 0. If the complex number ...

    Text Solution

    |

  4. The sum of the absolute maximum and minimum values of the function f(x...

    Text Solution

    |

  5. Let 9 = x1 lt x2 lt ……lt x7 in an A.P. with common difference d. If th...

    Text Solution

    |

  6. The value of the integral int(-pi/4)^(pi/4)(x+pi/4)/(2-cos2x)dx is

    Text Solution

    |

  7. Let P(x0, y0) be the point on the hyperbola 3x^2 – 4y^2 = 36 which is ...

    Text Solution

    |

  8. Two dice are thrown independently. Let A be the event that the number ...

    Text Solution

    |

  9. Let f : R – {0, 1} rarr R be a function such that f(x) + f(1/(1-x))= 1...

    Text Solution

    |

  10. Let the plane P pass through the intersection of the planes 2x + 3y – ...

    Text Solution

    |

  11. The total number of six digit numbers, formed using the digits 4, 5, 9...

    Text Solution

    |

  12. Number of integral solutions to the equation x + y + z = 21 where x ge...

    Text Solution

    |

  13. Let the sixth term in the binomial expansion of (sqrt(2^(log2(10-3^x))...

    Text Solution

    |

  14. If the term without x in the expansion of (x^(2/3)+alpha/x^3)^22 is 73...

    Text Solution

    |

  15. The point of intersection C of the plane 8x + y + 2z = 0 and the line ...

    Text Solution

    |

  16. The sum of common terms of the following three arithmetic progressions...

    Text Solution

    |

  17. If int(0)^(pi)(5^(cosx)(1+cosxcos3x+cos^(2)x+cos^(3)xcos3x)dx)/(1+5^(c...

    Text Solution

    |

  18. If the x-intercept of a focal chord of the parabola y^2 = 8x + 4y + 4 ...

    Text Solution

    |

  19. Let alpha x + beta y + gamma z = 1 be the equation of a plane passing ...

    Text Solution

    |

  20. The line x = 8 is the directrix of the ellipse E : (x^2)/(a^2)+(y^2)/(...

    Text Solution

    |