In an A.P., if a = 3.5, d = 0, n = 101, then find the value of `a_(n)`.

Answer

To find the value of \( a_n \) in an arithmetic progression (A.P.), we can use the formula for the \( n \)-th term of an A.P.:

\[ a_n = a + (n - 1) \cdot d \]

Where:
- \( a \) is the first term,
- \( d \) is the common difference,
- \( n \) is the term number.

Given:
- \( a = 3.5 \)
- \( d = 0 \)
- \( n = 101 \)

Now, we can substitute these values into the formula.

### Step 1: Substitute the values into the formula

\[ a_n = 3.5 + (101 - 1) \cdot 0 \]

### Step 2: Simplify the expression inside the parentheses

\[ a_n = 3.5 + (100) \cdot 0 \]

### Step 3: Calculate the multiplication

\[ a_n = 3.5 + 0 \]

### Step 4: Final calculation

\[ a_n = 3.5 \]

Thus, the value of \( a_n \) when \( n = 101 \) is \( 3.5 \).