Answer:
Explanation:
To find the 39th term of an arithmetic progression (AP) with the first term as 30 and the 66th term as 100, we need to determine the common difference (d) first.
The formula to find the nth term of an AP is given by:
a_n = a + (n - 1) * d
Given:
a = 30 (first term)
a_66 = 100 (66th term)
We can substitute these values into the formula to form two equations:
30 = 30 + (66 - 1) * d -- (equation 1)
100 = 30 + (66 - 1) * d -- (equation 2)
Simplifying equation 1, we have:
0 = 65d
Since the common difference (d) is nonzero, this equation tells us that d = 0, which is not possible in an AP.
Therefore, there seems to be an error or inconsistency in the given information. Please recheck the values provided for the first term (30) and the 66th term (100) to ensure their accuracy.