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
jamb 1994mathematics

The correct answer is D. 2

The formula for the nth term of an arithmetic progression is given by a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number. 

Substituting the given values into this formula, we have 11 = 1 + (6-1)d. Solving for d, we get d = \(\frac{11-1}{5}\) = 2. 

So, the common difference of this arithmetic progression is  2. 

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