Question

Find the missing terms of the A.P. : 5, _____ , _____ , 19/2

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Answer 1

Answer:

1. 10
2. 11
3. I hope it's help you

Answer 2

Let the missing terms of AP be "a" and "b".

Thus, AP => 5, a, b, 19/2.

And we know that an algebraic property of AP states that, "The difference between the two consecutive terms of an AP is maintained."

Thus,

a - 5 = b - a

=> 2a - b = 5 ..........(i)

and,

b - a = 19/2 - b

=> 2b - a = 19/2 ..........(*multiply equation by 2*)

=> 4b - 2a = 19 .............(ii)

.

Add (i) and (ii),

3b = 24

=> b = 8. ...........(put in (i))

.

2a - b = 5

=> 2a - 8 = 5

=> 2a = 13

=> a = 13/2.

Thus the missing terms of AP are: 8 and 13/2.