The nth term of a sequence is `(3n-7)`. Find its 20th term.

Explanation

To find the 20th term of the sequence where the nth term is given by the formula \( T_n = 3n - 7 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the nth term formula**:
The nth term of the sequence is given as \( T_n = 3n - 7 \).

2. **Substitute n with 20**:
To find the 20th term, we need to substitute \( n \) with 20 in the formula.
\[ T_{20} = 3(20) - 7 \]

3. **Calculate the expression**:
First, calculate \( 3 \times 20 \):
\[ 3 \times 20 = 60 \]
Now substitute this back into the equation:
\[ T_{20} = 60 - 7 \]

4. **Perform the subtraction**:
Now, subtract 7 from 60:
\[ T_{20} = 60 - 7 = 53 \]

5. **Conclusion**:
Therefore, the 20th term of the sequence is \( 53 \).

### Final Answer:
The 20th term of the given sequence is \( 53 \).

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