Question #77071
1 Answer
Jan 26, 2018
See below..
Explanation:
#color(red)((-1)^n#
- Let,
#color(red)(n=2m# ; Then,#" "color(green)((-1)^n=(-1)^(2m)=1^m=1# CONCLUSION:- When
#color(red)n# is a even number,#color(green)(bar(ul(|color(red)((-1)^(n=2m)=1)|#
- Let,
#color(red)(n=2m+1# ; Then,#" "color(green)((-1)^n=(-1)^(2m+1)=(-1)^(2m)xx(-1)^1=1xx(-1)=(-1)# CONCLUSION:- When
#color(red)n# is a odd number,#color(green)(bar(ul(|color(red)((-1)^(n=2m+1)=-1)|# Hope it helps...
Thank you...
