2023
Mathematics
67ca00ce0c643c71d77dee1f
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 - 2THIS WEEK's
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