The sum of the first n term of an AP is 252 if the first term is -16 and the last term is 72
Given:
First term (a) = -16
Last term (l) = 72
From the properties of an arithmetic progression (AP), we know that the sum of the first n terms (Sn) can be calculated using the formula:
Sn = (n/2) * (a + l)
Let's substitute the given values into the formula and solve for n:
252 = (n/2) * (-16 + 72)
252 = (n/2) * 56
252 = 28n
n = 252/28
n = 9
Therefore, the number of terms in the AP is 9.