Home
Class 11
MATHS
If f(n+1)=(2F(n)+1)/2,n=1,3, ,a n dF(1)...

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

A

48

B

49

C

51

D

52

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos

  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

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

Suppose that F(n+1)=(2(F(n+1))/2forn=1,2,3 a n dF(1)=2. T h e ndotF(101) equals 50 b. 52 c. 54 d. none of these

Suppose that F(n + 1) = (A) 50 for n = 1, 2, 3, and F(1)-2. Then F(101) equals (B) 52 (C) 54 (D) none of these a2 be in A.P, andg a,o = g10-3, then

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

If f(n+1)=(2f(n)+1)/(2) for n=1, 2, 3……….. and f(1)=2 , then (f(101))/(10) is equal to

For each positive integer n, let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2010)* Then sum_(k=1)^(2009)f(K) is equal to 335(b)336(c)331(d)333

f (1) = 1, n> = 1f (n + 1) = 2f (n) +1 then f (n) =

Given f(1)=2 and f(n+1)=(f(n)-1)/(f(n)+1)AA n in N then

If f(1) = 1 and f(n + 1) = 2 f(n) + 1, if n ge 1, then f(n) is.

If D_k=|[1,n,n],[2k,n^2+n+2,n^2+n],[2k-1,n^2,n^2+n+2]| and sum_(k=1)^n D_k=48 ,then n equals (a)4 (b) 6 (c) 8 (d) none of these

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. A function f from the set of natural number to integers defined by ...

    Text Solution

    |

  2. If f:RtoR satisfies f(x+y)=f(x)+f(y), for all real x,y and f(1)=m. the...

    Text Solution

    |

  3. If f(n+1)=(2F(n)+1)/2,n=1,3, ,a n dF(1)=2. Then F(101) equals 52 (b) ...

    Text Solution

    |

  4. If : f(x)=root(n)((x^m)), where n inN, is even function then m is

    Text Solution

    |

  5. Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+...

    Text Solution

    |

  6. If f(x) =ax^(2) + bx + c satisfies the identity f(x+1) -f(x)= 8x+ 3 fo...

    Text Solution

    |

  7. If : f(x)=x^2 and g(x)=2^x, then, the solution set of the equation (f@...

    Text Solution

    |

  8. Let f(x)=(alphax)/(x+1),x ne -1. Then, for what values of alpha is f[f...

    Text Solution

    |

  9. The value of parameter alpha, for which the function f(x) = 1+alpha x,...

    Text Solution

    |

  10. If f(x) = (a-x^n)^(1/n), a > 0 and n in N, then prove that f(f(x)) = x...

    Text Solution

    |

  11. "If" f(x)=(3x+2)/(5x-3),"then"

    Text Solution

    |

  12. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

    Text Solution

    |

  13. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  14. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  15. If f(x): (25-x^4)^(1/4) for 0< x< sqrt5 then f(f(1/2))=

    Text Solution

    |

  16. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |

  17. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  18. If f(x)=cos (logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

    Text Solution

    |

  19. If f(x)=sin(logx) then f(xy)+f(x/y)-2f(x)cos(logy)= (A) cos(logx) ...

    Text Solution

    |

  20. If f(x)=(1-x)/(1+x), then f[ f(cos2 theta)]=

    Text Solution

    |