Question

_,38,_,_,_,-22 find the missing terms in the boxes

Answer 1

Step-by-step explanation:

For this A.P., a2 = 38 a6 = -22 We know that an = a + (n - 1) d a2 = a + (2 - 1) d 38 = a + d ... (i) a6 = a + (6 – 1) d -22 = a + 5d ... (ii) On subtracting equation (i) from (ii), we get - 22 - 38 = 4d -60 = 4d d = -15 a = a2 - d = 38 - (-15) = 53 a3 = a + 2d = 53 + 2 (-15) = 23 a4 = a + 3d = 53 + 3 (-15) = 8 a5 = a + 4d = 53 + 4 (-15) = -7 Therefore, the missing terms are 53, 23, 8, and -7 respectively.