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Step-by-step explanation:
According to the question, a = 111, d = -5
To find the nth term of an AP, we use the equation T = a + (n-1)d
Now, the T we need here has to be the last positive term of the progression, so we will say that T > 0
So, a + (n-1)d > 0
Putting values in this equation, we get:
111 + (n-1)×(-5) > 0
111 > 5n-5
116 > 5n
n < 116/5
n < 23.2
So the largest value of n that is an integer and satisfies this inequality is 23
Now we can calculate the value of T as 111 + 22×(-5) = 111 - 110 = 1
So the last positive term of the series will be 1
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