Answer :
Final answer:
The common difference of the arithmetic progression is 0.
Explanation:
In an arithmetic progression (AP), the nth term can be represented as: a + (n-1)d, where a is the first term and d is the common difference.
Given that the 6th term is 2, we can plug in the values into the formula: 2 = a + 5d.
In order to find the value of the common difference, we can use the product of 1, 4, and 5. We know that the product of three consecutive terms in an AP is equal to the cube of the middle term, so 1 * 4 * 5 = 4^3 = 64. This means that the middle term is 4. Using the formula for the nth term again, we can substitute a = 4: 4 = 4 + 5d. Solving for d, we find that d = 0.
