Home
Class 12
MATHS
9. Find three numbers a,b,c between 2 & ...

9. Find three numbers a,b,c between 2 & 18 such that; (G) their sum is 25 (ii) the numbers 2,a,b are consecutive terms of an AP & (ii) the numbers b,c, 18 are consecutive terms of a G.P.

Text Solution

Verified by Experts

`a=5,b=8,c=12`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -3 Subjective /JEE Advanced (Comprehension )|3 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -I Previous Year /JEE Main|19 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -2 (Level -II) Multiple Correct /JEE Advanced|9 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

Find the numbers a,b,c between 2 and 18 such that (i) their sum is 25 (ii)the numbers 2,a,b are consecutive terms of an A.P and (iii) the numbers b,c 18 are respectively terms of a G.P

Find three numbers a, b,c between 2 & 18 such that; O their sum is 25 @ the numbers 2, a, b are consecutive terms of an AP & Q.3 the numbers b?c?18 are consecutive terms ofa GP

The sum of two consecutive multiples of 2 is 18. Find the numbers.

Three numbers a, b, c are lies between 2 and 18 such that their sum is 25. 2, a, b, are in A.P, and b, c, 18 are in G.P. Then abc =

Find four numbers between 4 and 40 so that the six numbers are consecutive terms of an AP.

The sum of three numbers which are consecutive terms of an AP is 3 and the sum of their cubes is 4. Find the numbers.

Show that (a-b),a and (a+b) form consecutive terms of an A.P.

If (1)/(a+b),(1)/(2b),(1)/(b+c) are three consecutive terms of an A.P.prove that a,b,c are the three consecutive terms of a G.P.

If the sum of three consecutive terms of a G.P. is 38 and their product is 1728, then find these three consecutive terms.

If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find the value of a .

MOTION-SEQUENCE & SERIES -Exercise -3 Subjective /JEE Advanced
  1. The sum of first ten terms of an A.P. is 155 and the sum of first two ...

    Text Solution

    |

  2. In a set of four number, the first three are in GP & the last three ar...

    Text Solution

    |

  3. Find the 4^(th) term of an H.P., whose 7^(th) term is 1/20 and 13^(th)...

    Text Solution

    |

  4. Find the sum of the n terms of the series whose nth term is (i) n(n+...

    Text Solution

    |

  5. Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((...

    Text Solution

    |

  6. If the expression exp {1+|cosx|+cos^(3)x|+cos^(4)x+ . . . . oo)log(e...

    Text Solution

    |

  7. The sum of the infinite series , 1^2- 2^2 / 5+ 3^2 / 5^2 - 4^2 / 5^3 +...

    Text Solution

    |

  8. Find the sum of the n terms of the sequence 1/(1+1^2+1^4)+2/(1+2^2+2^...

    Text Solution

    |

  9. Find the sum of the first n terms ofthe sequence : 1+2(1+1/n)+3(1+1/n)...

    Text Solution

    |

  10. Find the n term and the sum to n terms of the sequence: (i) 1+5+13+29+...

    Text Solution

    |

  11. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

    Text Solution

    |

  12. If a1,a,a3...an are in A.P then prove that a1^2-a2^2+a3^2-a4^2+....a(2...

    Text Solution

    |

  13. If a, b, c, d, e be 5 numbers such that a, b, c are in AP, b, c, d, ar...

    Text Solution

    |

  14. Using the relation A.M ge G.M. Prove that (i) tan theta +cot theta g...

    Text Solution

    |

  15. Prove that b^2c^2+c^2a^2+a^2b^2gtabc(a+b+c), where a,b,c gt 0 .

    Text Solution

    |

  16. The arithmetic mean of two numbers is 6 and their geometric mean G and...

    Text Solution

    |

  17. In a circle of radius R a square is inscribed, then a circle is inscri...

    Text Solution

    |

  18. 9. Find three numbers a,b,c between 2 & 18 such that; (G) their sum is...

    Text Solution

    |

  19. Two distinct, real infinite geometric series each have a sum of 1 and ...

    Text Solution

    |

  20. One of the roots of the equation 2000x^6 +100x^5 +10x^3+x-2=0 is the f...

    Text Solution

    |