Question

If 3.4,p,q,r,7.4 are in A.P.,then value of r is

Answer 1

$\sf as \: \: \: \: commmon \: \: \: \: difference \: \: \: is \: \: same$

$\sf p - 3.4 = 7.4 - r$

$\sf r = 3.4 + 7.4 - p = \boxed{ \sf 10.8 - p}$

$\green\ast \: \: \: \: \boxed{ \red{ \sf r = 10.8 - p}}$

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

3.4 , p , q , r , 7.4 are in AP then value of r is :

• 5.4

• 6.4

• 6.2

• Cannot be determined

EVALUATION

Here it is given that 3.4 , p , q , r , 7.4 are in AP

So common difference exists

Let common difference = d

First term = a = 3.4

Thud we have

2nd term = p = a + d = 3.4 + d

3rd term = q = a + 2d = 3.4 + 2d

4th term = r = a + 3d = 3.4 + 3d

5th term = 7.4 = a + 4d = 3.4 + 4d

Now from the last equation we get

7.4 = 3.4 + 4d

⟹ 3.4 + 4d = 7.4

⟹ 4d = 7.4 − 3.4

⟹ 4d = 4

⟹ d = 1

Thus we get

r = 3.4 + 3d = 3.4 + 3 = 6.4

Hence the required value of r = 6.4

FINAL ANSWER

Hence the correct option is 6.4

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