[" 8.Show that "(-sqrt(-1))^(4n+3)=i" ,"],[" where "n" is a positive integer."]

(-i)^(4n+3) , where n Is a positive integer.

(-i)^(4n+3), where n Is a positive integer.

((1+i)/(1-i))^(4n+1) where n is a positive integer.

Prove that 2^(n)>1+n sqrt(2^(n-1)),AA n>2 where n is a positive integer.

Show that 7^(n) +5 is divisible by 6, where n is a positive integer

If A=[(3,-4),(1,-1)] , then prove that A^(n)=[(1+2n,-4n),(n,1-2n)] , where n is any positive integer.

If A= [(3 , -4), (1 , -1) ] , then prove that A^n=[(1+2n , -4n), (n , 1-2n) ] , where n is any positive integer.

If A,=[[3,-41,1]], then prove that A^(n),=[[1+2n,-4n][2n], where n is any positive integer.

Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4) , where n is a positive integer.