Question on: JAMB Mathematics - 2001

The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to

A
zero
B
half of the common difference
C
double the common difference
D
the common difference
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Correct Option: D

1st statement: U6 = 1/2(U12)

a + (n -1)d = 1/2[a + (n-1)d]

a + 5d = a + 11d

2(a + 5d) = a + 11d

2a + 10d = a + 11d

Solving, => a = d

Hence the first term is equal to the common difference

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