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

The value of the infinite product 612×612×638×614×......... is

A
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
36
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
216
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 36
612×612×638×614×...............
=612+24+38+416+...................
=612(1+22+322+423+......................)
Let S=1+22+322+423+............, then
S2=SS2
or, S2=1+12+122+123+...........
or, S2=1112 ..... [Using sum of infinite terms of an G.P]
or, S=4
Then we have,
612×612×638×614×...............
=612×4=62=36
Hence, B is the correct option.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Sum of Infinite Terms of a GP
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon