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JAMB Mathematics 2009 Objective — Question 18

Question 18 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is

A. n(3n-0.5)
B. n(3n+2)Correct
C. n(3n+2.5)
D. n(3n+5)

Explanation

a=5, d=6. Sn = n/2(2a+(n-1)d) = n/2(10+6n-6) = n/2(6n+4) = n(3n+2).

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