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In an A P the first term is 2 and the sum of th... - WAEC Mathematics 1989 Question

In an A.P the first term is 2, and the sum of the 1st and the 6th term is 161/2. What is the 4th term

A
12
B
91/2
C
8
D
7
correct option: b

1st term a = 2; 6th term = a + (16-1)d = 2 + 5d
2 + (2 + 5d) = 161/2; 4 + 5d = 161/2
5d = 12.5 ∴ = 2.5
the 4th term is 2 + (4-1)2.5= 91/2

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