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Determine the common difference of an arithmetic sequence, whose first term is 2 and 6th term is 27?
  1. 5
  2. 4
  3. 6
  4. None of these
Explanation

Let's find the common difference (d) of the arithmetic sequence.

Step 1: Write the formula for the nth term

an = a + (n - 1)d

Step 2: Plug in the values

a = 2, n = 6, an = 27

27 = 2 + (6 - 1)d

27 = 2 + 5d

Step 3: Solve for d

25 = 5d

d = 25/5

d = 5

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