Home
Class 14
MATHS
Three non-zero real numbers form an A.P....

Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then the number of all possible common ratio of the G.P. is :

A

1

B

2

C

3

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

Three non-zero real numbers from an A.P. and the squares of these numbers taken in same order from a G.P. Then, the number of all possible value of common ratio of the G.P. is

Three distinct non-zero real numbers form an A.P. and the squares of these numbers taken in same order form a G.P.If possible common ratio of G.P. are 3 pm sqrtn, n in N then n =

If three non-zero distinct real numbers form an arithmatic progression and the squares of these numbers taken in the same order constitute a geometric progression. Find the sum of all possible common ratios of the geometric progression.

Three numbers are in G.P.If we double the middle term,we get an A.P.Then find the common ratio of the G.P.

Let 3 non-zero distinct real numbers be in A.P. and their squares in G.P. Then number of possible values of common ratios of G.P. is (1) 2 (2) 3 (3) 5 (4) 6

The product of three consecutive numbers in G.P. is 27 and the sum of the products of numbers taken in pair is 39. Find the numbers.

Three distinct numbers a, b, c form a GP in that order and the numbers a+b, b+c, c+a form an AP in that order. Then the common ratio of the GP is

The sum of infinite number of terms in G.P.is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. underset("n-digit")ubrace((666…6)) + underset("n-digit")ubrace((888…8)...

    Text Solution

    |

  2. The cubes of the natural numbers are grouped as 1^3 , (2^3, 3^3) , (4^...

    Text Solution

    |

  3. Three non-zero real numbers form an A.P. and the squares of these numb...

    Text Solution

    |

  4. If three positive real numbers a,b,c, are in A.P. such that a*b*c=4 , ...

    Text Solution

    |

  5. Three numbers form an increasing G.P. . If the middle number is double...

    Text Solution

    |

  6. If a(1),a(2),a(3)(a(1)gt0) are three successive terms of a GP with com...

    Text Solution

    |

  7. Let an be the nth term of an A.P. and a7=22, trhen the value of the co...

    Text Solution

    |

  8. If the A.M of two positive numbers a and b, (a gt b) is twice their G....

    Text Solution

    |

  9. Find the number of common terms to the two sequences 17,21,25,...,417 ...

    Text Solution

    |

  10. The sum of n terms of the series (1)/(sqrt(1) + sqrt3) + 1/(sqrt3 +...

    Text Solution

    |

  11. Let Tr be the rth term of an A.P., for r=1,2,3, If for some positive...

    Text Solution

    |

  12. Find the sum to n terms of the series 3+6 + 10 + 16 + …

    Text Solution

    |

  13. In a certain colony of cancerous cells , each cell divides into two ev...

    Text Solution

    |

  14. Divakar and Subhank set out to meet each other from Delhi and Saharanp...

    Text Solution

    |

  15. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

    Text Solution

    |

  16. If a, b, c are in H.P, then the value of (1/(b) + 1/(a) - 1/(c)) (1/(...

    Text Solution

    |

  17. Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

    Text Solution

    |

  18. What is the sum of 100 terms of the series 1-2+3-4+5-6+…. ?

    Text Solution

    |

  19. An infinite G.P has first term x and sum 5 then x belongs

    Text Solution

    |

  20. The next term of the sequence 1,5,14,30,55,... is

    Text Solution

    |