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

a5 and a13 of an arithmetic progression are 16 and 28. Then first term and common difference of the A.P are ____.

A
10 and 32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5 and 32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10 and 23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5 and 23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 10 and 32
Let a and d be the first term and common difference respectively.

General term of an A.P is an=a1+(n1)d
Given a5=16

a+(5-1)d=16
a+4d=16--------(i)

and a13=28
a+12d=28--------(ii)

(ii)-(i) gives 8d=12
d= 32

By substituting the value of d in (i)

we get a= 10.

first term=10
common difference = 32


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
nth Term of an AP
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon