If `(4+sqrt(15))^n=I+f,w h r en` is an odd natural number, `I` is an integer and `0

If (4+sqrt(15))^n=I+f, where n is an odd natural number, I is an integer and ,then

If (4+sqrt(15))^n=I+f, where n is an odd natural number, I is an integer and ,then a. I is an odd integer b. I is an even integer c. (I+f)(1-f)=1 d. 1-f=(4-sqrt(15))^n

If n is an odd natural number, then sum_(r=0)^n (-1)^r/(nC_r) is equal to

If n is an odd natural number, then sum_(r=0)^n (-1)^r/(nC_r) is equal to

If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt1 , show that I is an odd integer and (1-f)(1+f) =1

If (2+sqrt(3))^n=I+f, whare I and n are positive integers and 0

If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt1 , show that I is an odd integer and (1-f)(1+f) =1

If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0

If (9 + 4 sqrt(5))^(n) = I + f , n and I being positive integers and f is a proper fraction, show that (I-1 ) f + f^(2) is an even integer.

If (9 + 4 sqrt(5))^(n) = I + f , n and I being positive integers and f is a proper fraction, show that (I-1 ) f + f^(2) is an even integer.