If the common difference of an AP is 5, then find the value of below mentioned expression.

To solve this question, we first need to clarify what expression we're looking for related to the Arithmetic Progression (AP) with a common difference of 5. Typically, an arithmetic progression is represented as:

$a_n = a + (n-1)d$

Where:

• $a$ is the first term,
• $d$ is the common difference,
• $n$ is the term number.

Break Down the Problem

1. Identify the common difference $d = 5$.
2. Determine the expression that needs to be evaluated in the context of the AP.

Relevant Concepts

If there's a particular expression, such as the sum of the first $n$ terms $S_n$ of an AP, the formula is:

$S_n = \frac{n}{2} \left( 2a + (n-1)d \right)$

Analysis and Detail

However, without an explicit expression given in the question, let's assume we are looking to find the sum of the first $n$ terms. If you specify $n$ or another expression, please provide it for further calculation.

Verify and Summarize

If we assume $n$ to be some value (e.g., 10), we can compute $S_{10}$:

If $a$ (the first term) is assumed to be 0 for simplicity, the sum of the first $10$ terms will be:

$S_{10} = \frac{10}{2} \left( 2(0) + (10-1)(5) \right) = 5 \times 45 = 225$

Final Answer

If no specific expression or number of terms $n$ is provided and the common difference is 5, the calculated result remains dependent on additional context. Please share the exact expression for more precise computation.