What is the general term of the sequence 3, 8, 13, 18, ...?
MATHEMATICS
JAMB 2023
What is the general term of the sequence 3, 8, 13, 18, ...?
- A. 5n - 2
- B. 5n + 2
- C. 5
- D. 5n
Correct Answer: A. 5n - 2
Explanation
Given the sequence 3, 8, 13, 18, ... which is an arithmetic sequence
a = 3
d = T\(_2\) - T\(_1\) = 8 - 3 = 5
The general term of an A.P is:
T\(_n\) = a + (n - 1)d
⇒ T\(_n\) = 3 + (n - 1)5
= T\(_n\) = 3 + 5n - 5
∴ T\(_n\) = 5n - 2
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *