Home
Class 12
MATHS
If x0=1 and x(n+1)=3sqrt(2x(n)), then x3...

If `x_0=1` and `x_(n+1)=3sqrt(2x_(n)), then `x_3` =

A

1.26

B

1.361

C

1.396

D

1.408

Text Solution

Verified by Experts

The correct Answer is:
C

Enter 1 into your calculator. Then enter `3sqrt(2"Ans")` three times, to accomplish three iterations that result in `x_3` to get the correct answer, Choice C.
An alternative solution is to use the formula to evalute `x_1,x_2," and "x_3` , in turn. [19]
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

if x_(0)=3 and x_(n+1)=sqrt(4+x_(n)), then x_(3)=

If x_(1)=2 and x_(n+1)=sqrt(x_(n)^(2)+8) , then x_(4)=

If x_(1)=3 and x_(n+1)=sqrt(2+x_(n))" ",nge1, then lim_(ntooo) x_(n) is

If x_(0) = 3 and x_(n+1) = x_(n) sqrt(x_n + 1) , then x_(3) =

If x_1=3 and x_(n+1)=sqrt(2+x_n),ngeq1,t h e n""("lim")_(xrarroo)x_n is (a) -1 (b) 2 (c) sqrt(5) (d) 3

If n is even and nge4,x_(1),x_(2),...,x_(n)ge0 and x_(1)+x_(2)+...+x_(n)=1, then P=x_(1)x_(2)x_(3)…x_n cannot exceed

If x_1=sqrt(3) and x_(n+1)=(x_n)/(1+sqrt(1+x_ n^2)),AA n in N then lim_(n->oo)2^n x_n is equal to

If x_(n+1)=sqrt((1+x_n)/2) and |x_0|lt1 , n in W then lim_(n->oo)sqrt(1-x_0^2)/(x_1x_2x_3...x_(n+1)) =

If xgt1 and (sqrt(x^(3)))/(x^(2))=x^(n) , what is the value of n?

If x_(n)=cospi/3^(n)+isin(pi)/(3^(n)) , then x_(1),x_(2),x_(3),………………..x_(infty) is equal to

ENGLISH SAT-MODEL TEST 4-MCQ
  1. As x gets closer to 2, (x^3-8)/(x^2-4) approaches

    Text Solution

    |

  2. A right circular cone whose base radius is 4 is inscribed in a sphere ...

    Text Solution

    |

  3. If x0=1 and x(n+1)=3sqrt(2x(n)), then x3 =

    Text Solution

    |

  4. The y- intercept of y=|sqrt2csc(x+(pi)/(5))| is

    Text Solution

    |

  5. If the center of the circle x^2+y^2+ax+by+2=0 point (4,-8), then a+b=

    Text Solution

    |

  6. If p(x)=3x^2+9x+7 and p(a)=2 , then a=

    Text Solution

    |

  7. If 2 is a root of the equation x^4+2x^3-3x^2+kx-4=0 , then k=

    Text Solution

    |

  8. If sinA=3/5,90^(@)leAlt+180^(@),cosB=1/3, and 270^(@)leBle360^(@)" , "...

    Text Solution

    |

  9. A family has three children.Assuming that the probability of having a ...

    Text Solution

    |

  10. If sec 1.4=x, find the value of csc(2tan^(-1)x).

    Text Solution

    |

  11. The graph of|y-1|=|x+1| forms an X. The two branches of the X intersec...

    Text Solution

    |

  12. For what value of x between 0^(@) and 360^(@) does cos 2x=2cos x?

    Text Solution

    |

  13. An data set has a mean of 12 and a standard deviation of 2. If 5 is ad...

    Text Solution

    |

  14. For each positive integer n, let Sn=sum of all positive integers less ...

    Text Solution

    |

  15. If the graph of 3x^2+4y^2-6x+8y-5=0 and (x-2)^2=4(y+2) are drawn on th...

    Text Solution

    |

  16. If logx2=log3 x is satisfied by two values of x, what is their sum?

    Text Solution

    |

  17. which of the following lines are asymptotes for the graph of y=(3x^2-1...

    Text Solution

    |

  18. If (3sin2theta)/(1-cos2theta)=1/2 and 0^(@)letheta180^(@) , then theta...

    Text Solution

    |

  19. The cube in the figure above has edges of length 6 If point p is the m...

    Text Solution

    |

  20. Two positive numbers, a and b, are in the sequence 4. a,b,12. The firs...

    Text Solution

    |