Home
Class 11
MATHS
The first two term of a G.P are 125, and...

The first two term of a G.P are 125, and 25 respectively. Find the 5th and 6th term of the GP.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

The 5th and 13th terms of an A.P. are 16 and 28 respectively. Find the A.P.

The 10th and 14th terms of a H.P. are (2)/(29) and (2)/(41) respectively. Find the nth term of the H.P.

The 3rd and the 7th terms of a G.P. are 4 and 64 respectively. Find the G.P.

The 5th and 13th term of an A.P are 5 and -3 respectively. Find the A.P and the 30th term.

The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560, respectively. Find the first term and the number of terms in G.P.

If the 10th and 19th terms of a H.P. are (-(5)/(37)) and (-(5)/(64)) respectively, find the nth term of the H.P.

The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

If the first and the nth terms of a G.P are a and b , respectively, and if P is the product of the first n terms then prove that P^2=(a b)^ndot

The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find its 20th term. Also, find its general term.

The 5th and 11th terms of an A.P. are 41 and 20 respectively. What is its first term ? Find the sum of its first eleven terms.

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The middle term in the expansion of (x/2+2)^8 is 1120, then x in R is...

    Text Solution

    |

  2. The sum of three numbers of GP is 39/10 and their product is 1. Find...

    Text Solution

    |

  3. The first two term of a G.P are 125, and 25 respectively. Find the 5t...

    Text Solution

    |

  4. If underset(r=0)overset(n)sum((r+2)/(r+1)).^(n)C(r)=(2^(8)-1)/(6). the...

    Text Solution

    |

  5. Let f(x) = a(0) + a(1)x + a(2)x^(2) + "…." + a(n)x^(n) + "…." abd (f(x...

    Text Solution

    |

  6. If (1+x^(2))^(n) = underset(r=0)overset(n)suma(r)x^(r )= (1+x+x^(2)+x^...

    Text Solution

    |

  7. The value of sum(r=1)^(n+1)(sum(k=1)^n^kC(r-1)) (where r, k, n in N) i...

    Text Solution

    |

  8. If (x^(2)+x+1)/(1-x) = a(0) + a(1)x+a(2)x^(2)+"….", then sum(r=1)^(50...

    Text Solution

    |

  9. Find dy/dt , if y = (1 - cost)/(1 + cost) is

    Text Solution

    |

  10. The coefficient of x^9 in the expansion of (1+x)(1+x^2)(1+x^3)....(1+x...

    Text Solution

    |

  11. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  12. If (1-x)^(-n)=a0+a1x+a2x^2++ar x^r+ ,t h e na0+a1+a2++ar is equal to ...

    Text Solution

    |

  13. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?

    Text Solution

    |

  14. The coefficient of x^(10) in the expansion of (1+x^(2)-x^(3))^(8) is

    Text Solution

    |

  15. If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...

    Text Solution

    |

  16. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (a)(20 !...

    Text Solution

    |

  17. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

    Text Solution

    |

  18. The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d +b c d)^(10) is

    Text Solution

    |

  19. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

    Text Solution

    |

  20. If (1+x)^5=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5, then the value of (a0-a2+a4...

    Text Solution

    |