In an AP, the $4 t h$ term is $36$ . The $21 s t$ term is $108$ more than the $9 t h$ term. Find the common difference

12

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

9

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

4

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

- 3

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

Open in App

Solution

The correct option is B $9$
Arithmetic Progression
Given $T_{4} = 36$
$T_{21} = 108 + T_{9}$
$d = ?$
General term of an A.P
$T_{n} = a + (n - 1) d$
$T_{21} = 108 + T_{9}$
$a + (21 - 1) d = 108 + a + (9 - 1) d$
$20 d = 108 + 8 d$
$12 d = 108$
$d = 9$

Suggest Corrections

Similar questions

6

- 4 / 3

4 t h

9 t h

- 72

10 t h

60

4 t h

21^{(} s t)

Join BYJU'S Learning Program