Question

if 4x, x+2 and x-5 form an arithmetic sequence, what is the value of x?

a.3
b.4
c.5
d.6​

Answer 1

Answer:

x=3

Step-by-step explanation:

In A.P 2b = a+c

2(x+2)=4x+x-5

2x+4=5x-5

9=3x

x=3

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

if 4x , x + 2 and x - 5 form an arithmetic sequence, the value of x

a. 3

b. 4

c. 5

d. 6

EVALUATION

We know that three terms a , b , c are said to be in Arithmetic sequence if 2b = a + c

Here it is given that 4x , x + 2 and x - 5 form an arithmetic sequence

Thus we have

$\displaystyle \sf{ 2(x + 2) = 4x + (x - 5)}$

$\displaystyle \sf{ \implies 2x + 4 = 5x - 5}$

$\displaystyle \sf{ \implies 2x - 5x = - 5 - 4}$

$\displaystyle \sf{ \implies - 3x = - 9}$

$\displaystyle \sf{ \implies x = 3}$

So the required value of x = 3

FINAL ANSWER

Hence the correct option is a. 3

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