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Write the fourth term in the sequence, ...

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

A

13

B

18

C

3

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
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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