The sixth term of an A.P is half of its twelfth term. The first term…

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

Correct Answer: Option D

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