Write the fourth term in the sequence, defined as below:
(i) `a_(n)=5n-2`

Options

A. 13
B. 18
C. 3
D. None of these

Answer

To find the fourth term in the sequence defined by the formula \( a_n = 5n - 2 \), we will follow these steps:

### Step-by-Step Solution:

1. **Identify the formula**: The sequence is given by the formula \( a_n = 5n - 2 \).

2. **Substitute \( n = 4 \)**: Since we want to find the fourth term, we will substitute \( n \) with 4 in the formula.
\[ a_4 = 5(4) - 2 \]

3. **Calculate \( 5 \times 4 \)**:
\[ 5 \times 4 = 20 \]

4. **Subtract 2 from the result**: Now, we will subtract 2 from 20.
\[ a_4 = 20 - 2 \]

5. **Final calculation**:
\[ a_4 = 18 \]

### Conclusion:
The fourth term of the sequence is \( a_4 = 18 \).

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