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

Five numbers are in HP. The middle term is 1 and the ratio of the second and the fourth terms is 2:1. Then, the sum of the first three terms is

A
112
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
143
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 112
Let a2d,ad,a+d,a+2d are in AP
then 1a2d,1ad,1a+d,1a+2d are in HP
Given, middle term =1
1a=1
and Second termFirst term=21
1ad×(a+d)=21
a=3d d=13 (a=1)
Sum of first three terms
=1123+1113+1=3+32+1=112

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