Home
Class 12
MATHS
The numbers 1, 4, 16 can be three terms ...

The numbers 1, 4, 16 can be three terms (not necessarily consecutive) of no A.P. only on G.P. infinite number o A.P.s infinite number of G.P.s

A

no A.P

B

only on G.P

C

infinite number of A.P's

D

infinite number of G.P's

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION & SERIES

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise COMPREHENSIONS -II|2 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|50 Videos

  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If |r|<1, then the sum of infinite terms of G.P is

If p,q and r ( pneq ) are terms ( not necessarily consecutive) of an A.P., then prove that there exists a rational number k such that (r-q)/(q-p) =k. hence, prove that the numbers sqrt2,sqrt3 and sqrt5 cannot be the terms of a single A.P. with non-zero common difference.

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

If a,b,c be 7 th 11 th and 13 th terms respectively of a non constant A.P.If these are also the three consecutive terms of a G.P the sum of infinite terms of this G.P is Ka then K=?

For what value of p are 2p+1,\ 13 ,\ 5p-3 are three consecutive terms of an A.P.?

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

In an infinite G.P. the sum of first three terms is 70. If the externme terms are multipled by 4 and the middle term is multiplied by 5, the resulting terms form an A.P. then the sum to infinite terms of G.P. is :

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.

FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II
  1. In a G.P. the product of the first four terms is 4 and the second ter...

    Text Solution

    |

  2. if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...

    Text Solution

    |

  3. If three unequal positive real numbers a, b, c are in G.P. and b-c, c-...

    Text Solution

    |

  4. For any three unequal numbers a,b and c (a-b)/(b-c) equals to

    Text Solution

    |

  5. The numbers 1, 4, 16 can be three terms (not necessarily consecutive) ...

    Text Solution

    |

  6. Let a and b be two positive unequal numbers , then (a^(n+1)+b^(n+1))/(...

    Text Solution

    |

  7. Let a1, a2, a3, ,an be in G.P. such that 3a1+7a2+3a3-4a5=0. Then comm...

    Text Solution

    |

  8. If x,y,z are positive numbers in A.P., then

    Text Solution

    |

  9. The sequences {x(n)} is defined by x(k+1)=x(k)^(2)+x(k) and x(1) =1/...

    Text Solution

    |

  10. If a,b,c are in G.P and a,p,q are in A.P such that 2a, b+p, c +q are...

    Text Solution

    |

  11. If a,b,c three unequal positive quantities in H.P .then

    Text Solution

    |

  12. If underset(k=1)overset(n)sum(underset(m=1)overset(k)summ^(2))=an^(4)+...

    Text Solution

    |

  13. For a positive integer n , let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) ...

    Text Solution

    |

  14. Let x(1),x(2),x(3) bet the roots of equation x^(3) - x^(2) +betax + ga...

    Text Solution

    |

  15. The value of sum(r=1)^n1/(sqrt(a+r x)+sqrt(a+(r-1)x)) is -

    Text Solution

    |

  16. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  17. If a, b, c, d are distinct integers in A. P. Such that d=a^2+b^2+c^2, ...

    Text Solution

    |

  18. If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then ...

    Text Solution

    |

  19. if the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, th...

    Text Solution

    |

  20. If a,b,and c are three terms of an A.P such that a != b then (b-c)/...

    Text Solution

    |