What is the general term of the sequence 3, 8, 13, 18, ...?
A
5n - 2
B
5n + 2
C
5
D
5n
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #67329)