An AP consists of 43 terms. If the sum of 5 middle most terms is 195 then what is the sum of the AP? Share with your friends Share 1 Arun Kumar answered this Dear student, ACQ, sum of 21st,22nd and 23rd term is 195 , i.e a+20d + a+21d + a+22d = 195 ,that implies a + 21d = 65 sum of the AP = n(2a + (n-1)d)/2 = 43( 2a + 42d)/2 = 43(a+21d) = 43(65) = 2795. Regards -3 View Full Answer S Ramaratnam answered this number of terms 43 middle term is 22 thus 5 middle terms are 20th-24th a20 + a21 + a22 + a23 + a24 + a25 = 195 a + 19d + a + 20d + a +21d + a + 22d + a + 23d + a + 24d = 195 5a + (19+20+21+22+23)d = 195 5a + 105d = 195 5(a+21d) = 195 a + 21d = 39 S43 = (43/2)( 2a + 42d) S43 = 43(a+ 21d) = 43*39 = 1677 5