If $$ 2x $$, $$ x + 4 $$, and $$ x + 1 $$ are in Arithmetic Progression (A.P.), then the value of $$ x $$ is:

Question

Accepted Answer

Given that $$ 2x $$, $$ x + 4 $$, and $$ x + 1 $$ are in A.P., the difference between consecutive terms must be equal.

Using the property of A.P.:  
$$
(x + 4) - (2x) = (x + 1) - (x + 4)
$$

Simplify both sides:  
$$
x + 4 - 2x = x + 1 - x - 4
$$

$$
- x + 4 = -3
$$

Solve for $$ x $$:  
$$
x = 7
$$

Thus, the value of $$ x $$ is **7**, and the correct answer is **(c)**.

Answer

Answer

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