Question

2, x, 14 are in Arithmetic progression, then the value of x is
A.
28
B. 16
C. 7
D. 8​

Answer 1

Answer:

2, x, 14 are in Arithmetic progression, then the value of x is

A.28

B. 16

C. 7

D. 8✔️

Step-by-step explanation:

x= 2+14/2

or, x=8

X is Arithmetic Mean

Answer 2

The value of x = 8

Given :

2 , x , 14 are in Arithmetic progression

To find :

The value of x is

A. 28

B. 16

C. 7

D. 8

Solution :

Step 1 of 2 :

Form the equation to find the value of x

Here it is given that 2 , x , 14 are in Arithmetic progression

We know that if three terms a , b , c are in Arithmetic progression then 2b = a + c

By the given condition

2x = 2 + 14

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 2x = 2 + 14 }$

$\displaystyle \sf{ \implies 2x = 16}$

$\displaystyle \sf{ \implies x = \frac{16}{2} }$

$\displaystyle \sf{ \implies x = 8}$

Hence the correct option is D. 8

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