Question

If 4, x, 10 are in Arithmetic Progression the value of x is (A) 14 (B) - 6 (C) -7 (D) 7​

Answer 1

Value of x is 7.

Option 'D' is correct.

Given:

• If 4, x, 10 are in Arithmetic Progression.

To find:

• The value of x is
• (A) 14
• (B) - 6
• (C) -7
• (D) 7

Solution:

Concept to be used:

If given terms are in A.P., then common difference will be same.

i.e. the difference between the consecutive terms will be equal.

Step 1:

Write the difference between consecutive terms.

$\bf d = x - 4...eq1$

and

$\bf d = 10 - x...eq2$

Step 2:

Calculate the value of x.

Equate the eq1 and eq2.

$x - 4 = 10 - x$

$2x = 14$

$x = \frac{14}{2}$

$\bf x = 7$

Thus,

Value of x is 7.

Option 'D' is correct.

Learn more:

1) if 8x=7,15,2x-7 are the three consecutive terms of as find the value of x .write algebric sequence

https://brainly.in/question/20869646

2) For what value of k, 2k-7 , k+5 and 3k+2 are three consecutive terms of an A.P ?

https://brainly.in/question/1011848

#SPJ2

Answer 2

The value of x = 7

Given :

4 , x , 10 are in Arithmetic progression

To find :

The value of x is

(A) 14

(B) - 6

(C) - 7

(D) 7

Concept :

Three terms a , b , c are in Arithmetic progression then 2b = a + c

Solution :

Step 1 of 2 :

Form the equation to find the value of x

Here it is given that 4 , x , 10 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 + 10

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 2x = 4 + 10 }$

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

$\displaystyle \sf{ \implies x = \frac{14}{2} }$

$\displaystyle \sf{ \implies x = 7}$

Hence the correct option is (D) 7

━━━━━━━━━━━━━━━━

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

#SPJ2