Question

in the following APs ,find the missing terms :​

Answer 1

Answer:

In the first blank, it will be 18 and in the next one, it will be 8

Answer 2

$We \: know \: that, \: a,a + d,a + 2d,a + 3d,...\\ \: is \: the \: general \: form \: of \: AP. \\ we \: have, \: \: \: \: \: \: \: \: a + d = 13......(i) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ a + 3d = 3...........(ii) \\ \\ On \: subtracting \: equation \: (i) \: from \: equation \: (ii), \: we \: get \\ \: \: \: \: 2d = - 10 \\ = > d = - 5 \\ On \: putting \: d = - 5 \: in \: equation \: (ii), \: we \: get \\ a + 3( - 5) = 3 \\ = > a - 15 = 3 \\ = > a = 3 + 15 = 8 \\ Hence, \: the \: missing \: terms \: are \: a \: = 18\: and \: \\ \\ a + 2d = 18 + 2( - 5) \\ = 18 - 10 = 8$