Home
Class 11
MATHS
If F(x+1)=(2F(x)+1)/2, n = 1,2,3…..and F...

If `F(x+1)=(2F(x)+1)/2`, n = 1,2,3…..and F(1) = 2 then F(101)

A

52

B

49

C

48

D

51

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

If f(n+1)=(2F(n)+1)/2,n=1,2,3,.... a n d F(1)=2. Then F(101) equals (a) 52 (b) 49 (c) 48 (d) 51

Suppose that F(n + 1) = (2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. Then F(101) is

If f(n + 1) = (2f(n) + 1)/2 , n = 1,2,3,....... and f(1) = 2, then find the value of f(101)

If f(n+1)=(2f(n)+1)/(2),n=1,2,3,... and f(1)=2 then find the value of f(101).

If f(x)=x/(2^(x)-1) , then show that f(-1) = 2.

If f(x)f(y) + 2 = f(x) + f(y) + f(xy) and f(1) = 2, f'(1) = 2, then find f(x).

If F(x)=(a)/(x)+b+cxand F(1)=5,F(-2)=2 and F(-1)=-3 , find the value of F(-3).

If f(x)=2^x the f(x+3)/ f(x-1) =?

If f(x)=x^2-2x+1 , then find f(1)

If a f(x+1)+b f(1/(x+1))=x,x !=-1,a != b, then f(2) is equal to

PATHFINDER-FUNCTION-QUESTION BANK
  1. If y=sqrt(e^(sin^(-1)(log2x^2) , then y is real if

    Text Solution

    |

  2. If [2sinx]+[cosx]=-3 then the range of the function f(x)=sinx+sqrt3cos...

    Text Solution

    |

  3. If F(x+1)=(2F(x)+1)/2, n = 1,2,3…..and F(1) = 2 then F(101)

    Text Solution

    |

  4. If f : R to R satisfies f(x + y)=f(x)+f(y) for all x, y in R and f(1)=...

    Text Solution

    |

  5. If f(x+y,x-y)=xy then the arithmetic mean of f(y, x) & f(x,y)

    Text Solution

    |

  6. f(x)=sqrt([sin2x]-[cos2x]) :[.]GIF, then range of f(x)

    Text Solution

    |

  7. If f(x) = {(x^2, "for", x ge 0), (x, "for", x lt 0):} then fof(x) ...

    Text Solution

    |

  8. Domain of f(x) is [-1, 2] then domain of f([x] - x^2 + 4) where [.] de...

    Text Solution

    |

  9. Number of solution of the equation x^2 -2 -2[x] = 0 ([.] denotes the g...

    Text Solution

    |

  10. Let Sn = underset (t = 1) overset n sum r!(n gt 6), then Sn - 7[Sn/7] ...

    Text Solution

    |

  11. Range of f(x) = [1 + sin x] + [2 + sin fracx2] + [3 + sin frac x3] +.....

    Text Solution

    |

  12. The number of solutions of log(sin x) 2^(tan x) gt 0 in the interval ...

    Text Solution

    |

  13. If f(x) =ln ((x^2 + e)/(x^2 + 1)), then range of f(x) is

    Text Solution

    |

  14. If f(x) = {x} + sin ax (where {.} denotes the fractional part function...

    Text Solution

    |

  15. The value of a for which the range of the function f(x) = (x - 1)/(1 -...

    Text Solution

    |

  16. If the graph of the function f(x) is symmetrical about two lines x = a...

    Text Solution

    |

  17. If f(x) = 27x^3 + 1/x^3 and alpha, beta are the roots of 3x + 1/x = 2 ...

    Text Solution

    |

  18. If A= {x:pi/6 le x le pi/3} and f(x) = cosx - x(1 + x) then f(A) is eq...

    Text Solution

    |

  19. Find the domain of the function f(x) = cos^(-1)(1 + x^2)/(2x) + sqrt...

    Text Solution

    |

  20. Consider the following relations R = {(x,y) |x, y are real number and ...

    Text Solution

    |