Question

find the missing terms 'a' and 'b'in AP. :5,a,b,19/2........​

Answer 1

Answer:

a = 6.5 i.e. 13/2 and b = 8

Step-by-step explanation:

Here,  a = 5 and $a_{4}$ = 19/2

$a_{4} = a +3d \\a_{4} = 5 + 3d\\19/2 - 5 = 3d\\9/2 = 3d \\d = 3/2 (or) 1.5$

∴ $a_{2} = a + d = 5 + 1.5 = 6.5\\& a_{3} = a + 2d = 5 + 2(1.5) = 5 + 3 = 8$

∴ a = 6.5 & b = 8

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