SOLUTION: i² = -1 , if n \[Element] Z then i ^(2 n + 1) = \[PlusMinus] i (T or F)

Algebra.Com
Question 1207796: i² = -1 , if n \[Element] Z then i ^(2 n + 1) = \[PlusMinus] i (T or F)
Answer by greenestamps(13216)   (Show Source): You can put this solution on YOUR website!


n is an integer, so 2n+1 is an odd integer.

i raised to any odd power is either i or -i.

ANSWER: TRUE


RELATED QUESTIONS

if f ^(2 n)(x) + ((f (x) - 2))^(2 n) = x ^(2 n), n \[Element] N , then (dx)/(d (f (x)))... (answered by ikleyn)
if y ' = - (y)/(x) then y ^((n)) = (((- 1))^(n) n ! y)/(x ^(n)) , n \[Element] N (true or (answered by Edwin McCravy)
1. I v (N&F) 2. I > F 3.... (answered by solver91311)
I f x + 1 / x = 3 t h a n x 2 + t / x 2 =... (answered by Maths68)
Suppose f=(t-s)/[s/(n-2)] and p=(t-s)/s. Express f as a function of p and n. I have... (answered by MathLover1,Edwin McCravy,MathTherapy)
My professor has taken the compound interest formula... {{{ A(t)=P(1+r/n)^nt }}} ...and (answered by jim_thompson5910)
|i-1|^n=4find n (answered by ikleyn)
Prove directly, no Conditional Proof or Indirect Proof 1. I ∨ (N • F) 2. I ⊃ F (answered by math_tutor2020)
I need help solving this proof. 1.T = (L > K) 2.~N * K Conclusion: T * = and... (answered by solver91311)