Question

if a b c are in AP and B C D are in HP then prove that a d is equal to BC

Answer 1

Answer:

ad = bc

Step-by-step explanation:

if a b c are in AP and B C D are in HP then prove that a d is equal to BC

a b c are in AP

=> 2b = a + c

b c d  are in HP

2/c  = 1/b + 1/d

=> 2/c = (b + d)/bd

=> 2bd = bc + cd

putting 2b = a + c

=> (a + c)d = bc + cd

=> ad + cd = bc + cd

=> ad = bc

QED

Proved