Posted inAbstract Algebra Advanced Math Mathematics Multivariable Calculus If a b c are in AP then prove that 1/bc 1/ca 1/ab are in AP Posted by By SK Math Expert October 8, 2021Posted inAbstract Algebra, Advanced Math, Mathematics, Multivariable Calculus Q: If a b c are in AP then prove that 1/bc 1/ca 1/ab are in APProof:a,b,c are in AP\[2b=a+c \] Dividing this by abc both sides\[2b/abc = a/abc+c/abc\] \[2/ac =1/bc+1/ab\]\[1/bc, 1/ca, 1/ab \] are in AP Thus if a b… This Question has been answered. Please Login or Register to See The Answer Post navigation Previous Post If a,b,c are in Arithmetic progression then prove that b+c, c+a, a+b are in Arithmetic progressionNext PostIf a b c are in AP then prove that a(1/b+1/c) b(1/c+1/a) c(1/a+1/b) are in AP
