Question

if the nth term of an ap is 6n- 4 then its common difference is​

Answer 1

Answer:

Common difference,d=6

Step-by-step explanation:

Tn=6n-4

n=1,2,3,4

T1=6×1-4

=6-4

=2

T2=6×2-4

=12-4

=8

T3=6×3-4

=18-4

=14

T4=6×4-4

=24-4

=20

2,8,14,20,........

Common difference,d=8-2

=6

Answer 2

Answer:

when this type of que. is given there is a very simple method to solve them :

Step-by-step explanation:

an= a+(n-1)d

here an=6n-4

let, n=1

then 6×1-4=2

so a=2

again , n=2

then 6×2-4=8

now, a2=8

again , n=3

then 6×3-4=14

a3=14

again n=4

then 6×4-4=20

a4=20

hence , d=a2-a

8-2=6

d=a3-a2

14 - 8 =6

d=a4-a3

20 - 14 =6

therefore we are constantly receiving our common difference as 6