CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a,b,c are in H.P and n>1, show that an+cn>2bn.

Open in App
Solution

Let anandcn be two numbers

AM>GM

then an+cn2>(an.cn)12

an+cn>2(a.c)n2 ---- (1)

Also G.M.>H.M.

i.e. ac>bacn2>bn ---- (2)

Hence from (1) and (2) an+cn>2bn

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Identities for Irrational Numbers
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon