Question

6-a, x, 6+a, are in Arithmetic Progression, then find the value of x​

Answer 1

Answer:

x = 6

Step-by-step explanation:

As they are in AP, a2 - a1 = a3 - a2

x-(6-a) = 6+a-x

x - 6 + a = 6 + a - x

2x = 12

x = 6.

Hope it helps you.

Answer 2

Answer:

The value of x is 6.

Step-by-step explanation:

Arithmetic Progression formula is such that the difference between second and the first expression is equal to the difference between third and the second expression.

Moving to the question; they are asking to find 'x' which according to the question is the second expression:

Thus, the formula we'll apply here

x(2nd expression)-(6-a)(1st expression)= 6+a(3rd expression)-x(2nd expression)

x-6+a=6+a-x

now we bring x to the left side,

x+x-6+a=6+a

2x=6+a+6-a(bringing -6+a tp the right side)

now -a and +a cancels out

what is remaining is;

2x=12

x=12/2

therefore,

x=6

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