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

An arithmetic sequence has its 5th term equal to 22 and its 15th term equal to 62. Find the 100th term


A

400

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

402

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

401

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

302

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

402


: a5 = a + ( 5 – 1 )d = 22 ------------ ( i )

a15 = a + (15 – 1)d = 62 ------------------- (ii)

(ii) – (i) 62 – 22 = 14d – 4d = 10d

d = 4

Now, a + ( 5 – 1 )4 = 22

a = 6

Now, a100 = 6 + (100 – 1)4 = 402


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