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

Mathematics
JAMB 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 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

There is an explanation video available below.


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Explanation Video

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