passpadi

2023

Mathematics

JAMB

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
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