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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #1153)