wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Insert 6 geometric means between 27 and 181.

Open in App
Solution

Let G1,G2,G3,G4,G5,G6 be 6 geometric means between a=27 and b=181

Then, 27, G1,G2,G3,G4,G5,G6,181 is a G.P.

with common ratio r given by

r=(ba)1n+1

=(18127)16+1=(181×27)17=(137)17

G1=ar=27(13)=9

G2=ar2=27×19=3

G3=ar3=27×127=1

G4=ar4=27×127×3=13

G5=ar5=27×135=19

G6=ar6=27×136=127.

Hence, 9, 3, 1, 13,19,127 are 6 geometric means between 27 and 181.


flag
Suggest Corrections
thumbs-up
20
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometric Progression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon