Home » If the 6th term of an arithmetic progression is 11 and the first term is…

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

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
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