Q if a, b, c, are in A P , then 1b+c, 1c+a, 1a+b are in(A) A P - Maths - Principle of Mathematical Induction

Question

Q if a, b, c, are in A P , then
1 b + c ,   1 c + a ,   1 a + b   a r e   i n (
A )   A P              
                ( B )
  G P ( C )   H P          
                 
  ( D )   N o n e   o f   t h e s e

Neha Sethi · Accepted Answer

Dear student
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a4b9dd82525c%20png">
Thus, a,b,c are in AP⇒1b+c,1c+a,1a+b are in AP
Regards

Q. if a, b, c, are in A.P. , then 1 b + c , 1 c + a , 1 a + b a r e i n ( A ) A . P . ( B ) G . P . ( C ) H . P . ( D ) N o n e o f t h e s e

Q. if a, b, c, are in A.P. , then
$\frac{1}{\sqrt{b} + \sqrt{c}}, \frac{1}{\sqrt{c} + \sqrt{a}}, \frac{1}{\sqrt{a} + \sqrt{b}} a r e i n (A) A . P . (B) G . P . (C) H . P . (D) N o n e o f t h e s e$