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

Let a1,a2,a3,.... be terms of an A.P.
If a1+a2+....+apa1+a2+.....+aq=p2q2,pq then a6a21 must be-

A
Less than 1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
27
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1141
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
72
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A Less than 1
D 1141
Given a1+a2+a3+...+apa1+a2+a3+...+aq=p2q2
p2[2a1+(p1)d]q2[2a1+(q1)d]=p2q2
2a1+(p1)d2a1+(q1)d=pq
2a1q+(p1)qd=2a1p+(q1)pd
2a1(pq)=(pqqqp+p)d
d=2a1
So, a6a21=a1+5da1+20d
=a1+10a1a1+40a1
=11a141a1
=1141

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Arithmetic Progression - Sum of n Terms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon