Grade 11Algebra
If pth,qth,rth of an AP and GP are both a,b,c respectively show that a^b-c*b^c-a*c^a-b=1
1 Answer
moumi roy
c*b^c-a*c^a-b=(a^b*b^c*c^a)/(a^c*b^a*c^b)=(a/c)^b*(b/a)^c*(c/b)^alet r be the ratio.b=a^r &c=a*r^2.also as in ap 2b=a+c..so if we compute a^b-=(1/r^2)^b*r^c*r^a=r^(-2b+c+a)=r^0=1
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago