Home
Class 11
MATHS
Find four terms in A.P. whose sum is 20 ...

Find four terms in A.P. whose sum is 20 and the sum of whose squares is 120.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Find three numbers in G.P. whose sum is 35 and sum of their squares is 525.

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.

Find the common difference of an A.P. whose first term is 100 and the sum of whose first six terms is five times the sum of the next six terms.

Find two positive numbers whose sum is 14 and their sum of squares is minimum .

The sum of three consecutive terms of an A.P. is 9 and the sum of their squares is 35. Find the terms.

The sum of an infinite number of terms of a G.P. is 15 and the sum of their squares is 45. Find the G.P.

Find three numbers in A.P. : whose sum is 21 and product is 315.

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Solve the equation : 2+5+8+ 11+...... +x = 345.

    Text Solution

    |

  2. The sum of four numbers in A.P. is 4 and their product is 385. Find th...

    Text Solution

    |

  3. Find four terms in A.P. whose sum is 20 and the sum of whose squares i...

    Text Solution

    |

  4. We are given an A.P. with 1st term a and common difference d. If ea...

    Text Solution

    |

  5. We are given an A.P. with 1st term a and common difference d. If eac...

    Text Solution

    |

  6. If a, b, c are in A.P., prove that : b+c,c+a,a+ b are also in A.P.

    Text Solution

    |

  7. If a, b, c are in A.P., prove that : 1/(sqrtb+sqrtc), 1/(sqrtc+sqrta...

    Text Solution

    |

  8. If a, b, c are in A.P., prove that : (b+c)^2-a^2, (c+a)^2-b^2, (a+b)...

    Text Solution

    |

  9. If 1/a,1/b,1/c are in A.P., prove that : (b + c)/a, (c + a)/b, (a + ...

    Text Solution

    |

  10. If 1/a,1/b,1/c are in A.P., prove that : a(b + c), b(c + a), c(a + b...

    Text Solution

    |

  11. If a+b+c ne 0 and (b + c)/a, (c + a)/b, (a + b)/c are in A.P., prove ...

    Text Solution

    |

  12. If a^(2),b^(2),c^(2) are in A.P. Prove that (a)/(b+c),(b)/(c+a),(c)/(a...

    Text Solution

    |

  13. If a(1/b +1/c) , b(1/c +1/a), c(1/a + 1/b) are in A.P. Prove that a,b,...

    Text Solution

    |

  14. Find 'r' and write the fourth term of the following progressions : ...

    Text Solution

    |

  15. Find 'r' and write the next four terms of the following progressions :...

    Text Solution

    |

  16. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

    Text Solution

    |

  17. Find the indicated term(s) of the following G.P.'s : 12, 8, 16/3, ……...

    Text Solution

    |

  18. Which term of the geometric sequences : 2, 8, 32, is 131072 ?

    Text Solution

    |

  19. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

    Text Solution

    |

  20. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

    Text Solution

    |