Question

1. If 4, X, 16 are in Arithmetic progression, then the value of x is ---
(A) 2o
(B) 12
(C) 10
(D) 18​

Answer 1

The correct option is (C) 10. The value of x is 10.

Given,

4, x, 16 are in arithmetic progression.

To Find,

The value of x =?

Solution,

We can solve the question as follows:

It is given that 4, x, 16 are in arithmetic progression. We have to find the value of x.

$A.P. = 4, x, 16$

In an A.P., the difference between any two consecutive numbers is equal and is called the common difference.

Here, the difference between x and 4 and 16 and x will be equal since the numbers are in arithmetic progression.

Therefore,

$x - 4 = 16 - x$

Taking the x terms to one side,

$x + x = 16 +4$

$2x = 20$

$x = \frac{20}{2} = 10$

Hence, the value of x is 10.

Answer 2

If 4 , x , 16 are in Arithmetic progression, then the value of x is 10

Correct question : If 4 , x , 16 are in Arithmetic progression, then the value of x is (A) 20 (B) 12 (C) 10 (D) 18

Given :

4 , x , 16 are in Arithmetic progression

To find :

The value of x is

(A) 20

(B) 12

(C) 10

(D) 18

Solution :

Step 1 of 2 :

Form the equation to find the value of x

Here it is given that 4 , x , 16 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 = 4 + 16

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 2x = 4 + 16}$

$\displaystyle \sf{ \implies 2x = 20}$

$\displaystyle \sf{ \implies x = \frac{20}{2} }$

$\displaystyle \sf{ \implies x = 10}$

Hence the correct option is (C) 10

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP

https://brainly.in/question/30198388

2. find the 100th term of an AP whose nth term is 3n+1

https://brainly.in/question/22293445

3. 2,7,12,17,...sum of 12 terms of this A. P. is

https://brainly.in/question/24134044