If a, b, c are in A.P., then 2ax+1,2bx+1,2cx+1,x∈R are in

a, b, c are in A.P. ⇒ 2ax,2bx,2cx are in G.P.⇒2ax+1,2bx+1,2cx+1are in G.P.

a, b, c are in A.P. ⇒ 2ax,2bx,2cx are in G.P.⇒2ax+1,2bx+1,2cx+1are in G.P.

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Offline Centres

If $a, b, c$ are in A.P., then $2^{a x + 1}, 2^{b x + 1}, 2^{c x + 1}, x \in R$ are in

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

G.P. for all x

G.P. and when x > 0

G.P. only when x < 0

A.P.

answer is D.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

a, b, c are in A.P. $\Rightarrow 2^{a x}, 2^{b x}, 2^{c x}$ are in G.P.

$\Rightarrow 2^{a x + 1}, 2^{b x + 1}, 2^{c x + 1}$ are in G.P.

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test