Question

If 8, x, 20 are in arithmetic progression, the value of x'is
A. 10
B. -10
C. 14
D.8​

Answer 1

Answer:

option c is right answer because u check all the option to the x And which is coming common difference Same that is your answer

Answer 2

Answer:

Required value of x is 14.

So, option C is the correct answer.

Step-by-step explanation:

Given series is 8,x,20

First term of the series is 8.

It is also given that given series is in arithmetic progression.

We know,

In arithmetic progression, each and every term has common difference.

Here we want to find value of x.

By option test we can find the value of x.

Option -1:

If value of x = 10

Difference between 8 and 10 is (10-8) = 2

and difference between 10 and 20 is (20-10) = 10

Here differences between each term are not same .

So, x = 10 is not possible.

Option -2:

If value of x = (-10)

Difference between 8 and (-10) is (-10-8) = -18

and difference between 10 and 20 is {20-(-10)}= 30

Here differences between each term are not same .

So, x = -10 is not possible.

option -3:

If value of x = 14

Difference between 8 and 14 is (14-8) = 6

and difference between 10 and 20 is (20-14)= 6

Here differences between each term are same .

So, x = 14 is possible.

Option -4:

If value of x = 8

Difference between 8 and 8 is (8-8) = 0

and difference between 8 and 20 is (20-8)= 22

Here differences between each term are not same .

So, x = 8 is not possible.

So,by option test we can say value of x is 14.

Know more about Arithmetic progression:

1) https://brainly.in/question/4219484

2) https://brainly.in/question/2768711