Home
Class 12
MATHS
The value of sum(n=1)^(13)(i^n+i^(n+1)),...

The value of `sum_(n=1)^(13)(i^n+i^(n+1)), " where "i = sqrt(-1)` is

A

i

B

`i-1`

C

`-i`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos
  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

Similar Questions

Explore conceptually related problems

Show that sum_(n=1)^(25) (i^(n) + i^(n +1)) = i-1

The value of ((1 + i)^(2n + 1))/((1- i)^(2n -1)) =

Find the value of sum_(i=1)^n sum_(i=1)^n sum_(k=1)^n 1

Find the value of sum_(i=1)^n sum_(i=1)^n sum_(k=1)^n k

Find the value of sum_(1le i,)sum_(jle n)(1) .

Matching the items of Column-I with the items Column-II {:("Column-I", "Column-II"), ("A) If "cos^(-1)lambda+cos^(-1)mu+cos^(-1)gamma=3pi" then "lambdamu+mugamma+gammalambda" is","p) "2n), ("B) If "sum_(i=1)^(10)cos^(-1)x=0" then "sum_(i=1)^(10)x_(i)" is", "q) "(sin^(-1)x-pi/6)), ("C) If "sum_(i=1)^(2n)sin^(-1)x_(i)=npi" then "sum_(i=1)^(2n)x_(i)" is", "r) "10),("D) The value of "sin^(-1){sqrt(3)/2x-1/2sqrt(1-x^(2))}"," (-1/2 le x le 1/2)" is", "s) "3):}

The value of the integral I=int_(0)^(1)x(1-x)^(n) is