The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

Answer Details

To find the number of terms in an arithmetic progression, we can use the formula: sum = (n/2)(first term + last term) where sum is the sum of the first n terms, n is the number of terms, and the first and last terms are given. Plugging in the given values, we get: 252 = (n/2)(-16 + 72) Simplifying the equation, we get: 252 = 28n Dividing both sides by 28, we get: n = 9 Therefore, the correct answer is: 9. The arithmetic progression has 9 terms.