Sequence And Series Question 213
Question: If $ x,\ 1,\ z $ are in A.P. and $ x,\ 2,\ z $ are in G.P., then $ x,\ 4,\ z $ will be in
[IIT 1965]
Options:
A) A.P.
B) G.P.
C) H.P.
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ x,\ 1,\ z $ are in A.P., then $ 2=x+z $ ……(i) and $ 4=xz $ ……(ii) Divide (ii) by (i), we get $ \frac{x\ .\ z}{x+z}=\frac{4}{2} $ or $ \frac{2xz}{x+z}=4 $ Hence $ x,\ 4,\ z $ will be in H.P.
BETA
