Question

the nth term of an Ap is given by an=3+4n. the common difference is:- 1....7 2..3 3...4 4.....1​

Answer 1

Answer:

tn=3+4n

t1=3+4(1)

=3+4=7

t2=3+4(2)

=3+8=11

Common difference =t2-t1

=11-7=4

3. 4 is the correct option.

Answer 2

Given:

nth term of an AP is 3+4n.

To find:

Common difference of the AP

Solution:

1) The term of the AP 3+4n is given by:

Putting the value of n in 3+4n

• n=1

a1 = 3+4.1 = 3+4 = 7

• n=2

a2 = 3+4.2 = 3+8 =11

• n=3

a3 = 3+4.3 = 3+12 = 15

.

.

and so on...

2) Common difference is given by:

• d = a2-a1 = 11-7 = 4

• d = a3-a2 = 15-11 = 4

Option (3) is correct

Common difference is 4.