Home
Class 11
MATHS
The value of i^(1+3+5+.....+(2n+1)) is....

The value of `i^(1+3+5+.....+(2n+1))` is________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Let f be a real-valued invertible function such that f((2x-3)/(x-2))=5x-2, x!=2. Then value of f^(-1)(13) is________

Let f be a real-valued invertible function such that f((2x-3)/(x-2))=5x-2, x!=2. Then value of f^(-1)(13) is________

Let f(x)=(x-1)(x-2)(x-3)--(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

If 2tan^2x-5secx=1 is satisfied by exactly seven distinct values of x in [0,((2n+1)pi)/2],n in N , then the greatest value of n is________.

If (1+i)(1+2i)(1+3i)...(1+n i)=a+i b , then the value of; 2. 5. 10. 17... (1+n^2\ ) will be (a) . a-i b (b) . a^2-b^2 (c) . a^2+b^2 (d) . none of these

The value of 1+(1+i)+(1+i^2) +(1+i^3) =

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

    Text Solution

    |

  2. Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=...

    Text Solution

    |

  3. The value of i^(1+3+5+.....+(2n+1)) is.

    Text Solution

    |

  4. a ,b , c are integers, not all simultaneously equal, and omega is cube...

    Text Solution

    |

  5. a, b, c are reals such that a+b+c=3 and   1/(a+b)+ 1/(b+c) + 1/ (c+...

    Text Solution

    |

  6. If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tannthet...

    Text Solution

    |

  7. If alpha,beta are the roots of the quadratic equation a x^2+b x+c=0 , ...

    Text Solution

    |

  8. The locus of z which lies in shaded region (excluding the boundaries) ...

    Text Solution

    |

  9. Prove that the roots of the equation x^4-2x^2+4=0 forms a rectangle.

    Text Solution

    |

  10. If a ,b ,c are non-zero real numbers, then find the minimum value of t...

    Text Solution

    |

  11. If z1a n dz2 are two nonzero complex numbers such that =|z1+z2|=|z1|+|...

    Text Solution

    |

  12. if diagonals of a parallelogram bisect each other,prove that its a rho...

    Text Solution

    |

  13. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

    Text Solution

    |

  14. If z=costheta+isintheta is a root of the equation a0z^n+a2z^(n-2)++a(n...

    Text Solution

    |

  15. If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 ...

    Text Solution

    |

  16. If z=x+iy is a complex number with x, y in Q and |z| = 1, then show ...

    Text Solution

    |

  17. Referred to the principal axes as the axes of co ordinates find the eq...

    Text Solution

    |

  18. Find the area bounded by |arg z|lt=pi//4 and |z-1|<|z-3|dot

    Text Solution

    |

  19. sum(k=1)^6 (sin,(2pik)/7 -icos, (2pik)/7)=?

    Text Solution

    |

  20. If the equation a x^2+b x+c=0(a &gt;0) has two real roots alphaa n db...

    Text Solution

    |