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If the 6th term of an arithmetic progression is 11 and the first term is...

Mathematics
JAMB 1994
If the 6th term of an arithmetic progression is 11 and the first term is 1, find the common difference.
  • A. \(\frac{12}{5}\)
  • B. \(\frac{5}{3}\)
  • C. -2
  • D. 2
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Correct Answer: Option D
Explanation
In an AP, Tn = a + (n - 1)d

T6 = a + 5d = 11

The first term = a = 1

∴ T6 = 1 + 5d = 11

5d = 11 - 1

5d = 10

∴ d = 2
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