What is the general term of the sequence 3, 8, 13, 18, ...?
A.
5n - 2
B.
5n + 2
C.
5
D.
5n
Correct Answer: 5n - 2
Explanation
Given the sequence 3, 8, 13, 18, ... which is an arithmetic sequence
a = 3
d = T2 - T1 = 8 - 3 = 5
The general term of an A.P is:
Tn = a + (n - 1)d
⇒ Tn = 3 + (n - 1)5
= Tn = 3 + 5n - 5
∴ Tn = 5n - 2
Given the sequence 3, 8, 13, 18, ... which is an arithmetic sequence
a = 3
d = T2 - T1 = 8 - 3 = 5
The general term of an A.P is:
Tn = a + (n - 1)d
⇒ Tn = 3 + (n - 1)5
= Tn = 3 + 5n - 5
∴ Tn = 5n - 2