If 13, X, 22 are three consecutive terms of an AP. What is the value of X?

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  1. 17.5
  2. 17
  3. 35
  4. 4.5

Answer (Detailed Solution Below)

Option 1 : 17.5
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Detailed Solution

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Given:

13, X, 22 are three consecutive terms of an Arithmetic Progression (AP).

Concept Used:

In an AP, the middle term of three consecutive terms is the arithmetic mean of the first and the third terms.

Mathematically, if a, b, c are in AP, then b = (a + c) / 2.

Calculation:

Here, the three consecutive terms are 13, X, and 22.

According to the property of AP:

X = (13 + 22) / 2

X = 35 / 2

X = 17.5

The value of X is 17.5.

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