2001
Mathematics
JAMB
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
Correct Answer: the common difference
Explanation
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
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 differenceTHIS WEEK's
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