Insert 2 Between 6 And 54 With Solution

Insert 2 between 6 and 54 with solution

 

ANSWER :

The common difference is 16 and the interpoled terms 22 and 38.

STEP BY STEP EXPLANATION :

• Find the common difference .

d = (An - Ak)/(n - k)

d = (54 - 6)/(4 - 1)

d = (48)/(3)

d = 16

• Find the 2th term.

An = A1 + (n - 1) × d

A2 = 6 + (2 - 1) × 16

A2 = 6 + 1 × 16

A2 = 6 + 16

A2 = 22

• Find the 3th term.

An = A1 + (n - 1) × d

A3 = 6 + (3 - 1) × 16

A3 = 6 + 2 × 16

A3 = 6 + 32

A3 = 38

Therefore , the common difference is 16 and the interpoled terms 22 and 38.

OK.