Find `5^(th)` terms of an A.P. whose nth term is 3n-5

Answer

To find the 5th term of an arithmetic progression (A.P.) whose nth term is given by the formula \( a_n = 3n - 5 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the nth term formula**: The nth term of the A.P. is given as \( a_n = 3n - 5 \).

2. **Substitute n for the 5th term**: To find the 5th term \( a_5 \), we will substitute \( n = 5 \) into the formula:
\[ a_5 = 3(5) - 5 \]

3. **Calculate the value**: Now, calculate the expression:
\[ a_5 = 15 - 5 \]

4. **Simplify the result**: Subtract 5 from 15:
\[ a_5 = 10 \]

Thus, the 5th term of the A.P. is \( \boxed{10} \).