Home
Class 11
MATHS
If sum of an infinite G.P. : p ,1,1//p ,...

If sum of an infinite G.P. : `p ,1,1//p ,1//p^2`, ........ is `9//2` then value of `p` is a. 3 b. 3/2 c. 3 d. 9/2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If sum of an indinite G.P p,1,1//p,1//p^2 …=9/2.. Is then value of p is

Let Aa n dB are events of an experiment and P(A)=1//4, P(AuuB)=1//2, then value of P(B//A^c) is 2//3 b. 1//3 c. 5//6 d. 1//2

Let Aa n dB are events of an experiment and P(A)=1//4, P(AuuB)=1//2, then value of P(B//A^c) is 2//3 b. 1//3 c. 5//6 d. 1//2

The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then the common ratio of the G.P. is 1//2 b. 2//3 c. 1//6 d. none of these

The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then the common ratio of the G.P. is 1//2 b. 2//3 c. 1//6 d. none of these

If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 9//2 , the sum of the cubes of the terms is

If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6,p!=1 , then the value of p/x is a. 1/3 b. 3 c. 1/2 d. 2

If p + 1/( p + 2 ) = 3 , find the value of ( p + 2 )^3 + 1/( p + 2 )^3

A sample space consists of 3 sample points with associated probabilities given as 2p ,p^2,4p-1. Then the value of p is p= a. sqrt(11)-3 b. sqrt(10)-3 c. 1/4 < p <1/2 d.none

Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If a

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal ...

    Text Solution

    |

  2. If sum(r=1)^n r^4=I(n),t h e nsum(r=1)^n(2r-1)^4 is equal to a. I(2n)-...

    Text Solution

    |

  3. If sum of an infinite G.P. : p ,1,1//p ,1//p^2, ........ is 9//2 then ...

    Text Solution

    |

  4. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

    Text Solution

    |

  5. If a1, a2, a3, ,a(2n+1) are in A.P., then (a(2n+1)-a1)/(a(2n+1)+a1)+(...

    Text Solution

    |

  6. If a 1 , a 2 , a 3 , , a 2 n + 1 are in A.P., then a 2 n + 1 − a 1 ...

    Text Solution

    |

  7. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

    Text Solution

    |

  8. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

    Text Solution

    |

  9. Let the terms a(1),a(2),a(3),…a(n) be in G.P. with common ratio r. Let...

    Text Solution

    |

  10. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  11. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  12. Find the sum (x+2)^(n-1)+(x+2)^(n-2)(x+1)^+(x+2)^(n-3)(x+1)^2++(x+1)^(...

    Text Solution

    |

  13. If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c ...

    Text Solution

    |

  14. If a ,b ,a n dc are in G.P., then the equations a x^2+2b x+c=0a n ddx^...

    Text Solution

    |

  15. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  16. The third term of a geometric progression is 4. Then the product of t...

    Text Solution

    |

  17. In triangle ABC medians AD and CE are drawn, if AD=5, angleDAC= pi/8 a...

    Text Solution

    |

  18. Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If...

    Text Solution

    |

  19. If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P....

    Text Solution

    |

  20. Sum of 1/(sqrt(2)+sqrt(5))+1/(sqrt(5)+sqrt(8))+1/(sqrt(8)+sqrt(11))+1/...

    Text Solution

    |