Question on: JAMB Mathematics - 2008

The fifth term of an A.p. is 24 and the eleventh term is 96. Find the first term

A
12
B
4
C
-12
D
-24
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Correct Option: D

In = a + (n - 1)d

24 = a + (5 - 1)d

24 = a + 4d.......(i)

96 = a + (11 - 1)d

96 = a + 10d.......(ii)

a = 24 - 4d.......(iii)

96 = 24 - 4d + 10d

96 = 24 + 6d

96 - 24 = 6d

72 = 6d

d = (\frac{72}{6})

d = 12

a = 24 - 4d

a = 24 - 4 x 12

a = 24 - 48

a = -24

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