Question

If 4,a,b,c,28 are in ap,then the value of ‘c’ is

Answer 1

The value of c = 22

Given :

4 , a , b , c , 28 are in AP

To find :

The value of c

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + (n - 1)d

Solution :

Step 1 of 2 :

Find common difference

Here it is given that 4 , a , b , c , 28 are in AP

First term = A = 4

2nd term = a

3rd term = b

4th term = c

5th term = 28

Let common difference = D

Now , 5th term = 28

⇒ A + (5 - 1)D = 28

⇒ 4 + 4D = 28

⇒ 4D = 28 - 4

⇒ 4D = 24

⇒ D = 24/4

⇒ D = 6

So common difference = D = 6

Step 2 of 2 :

Find the value of c

The value of c

= 4th term

= A + (4 - 1)D

= A + 3D

= 4 + (3 × 6)

= 4 + 18

= 22

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