Sequence And Series Question 225
Question: If $ a,\ b,\ c $ are in A.P., then $ 3^{a},\ 3^{b},\ 3^{c} $ shall be in
[Pb. CET 1990]
Options:
A) A.P.
B) G.P.
C) H.P.
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
As given $ 2b=a+c $
$ \Rightarrow 3^{2b}={3^{a+c}} $ or $ {{(3^{b})}^{2}}=3^{a}.\ 3^{c}\ i.e.\ 3^{a},\ 3^{b},\ 3^{c} $ are in G.P. Note: Students should remember this question as a fact.
BETA
