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

Answer

To find the 20th term of the sequence given by the formula \( a_n = 3n - 7 \), we will follow these steps:

### Step 1: Identify the formula for the nth term
The formula for the nth term of the sequence is given as:
\[ a_n = 3n - 7 \]

### Step 2: Substitute \( n = 20 \) into the formula
To find the 20th term, we substitute \( n = 20 \) into the formula:
\[ a_{20} = 3(20) - 7 \]

### Step 3: Calculate the value
Now, we perform the multiplication and subtraction:
\[ a_{20} = 60 - 7 \]

### Step 4: Simplify the expression
Now, we simplify the expression:
\[ a_{20} = 53 \]

### Conclusion
Thus, the 20th term of the sequence is:
\[ \boxed{53} \]

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