Question

11
If a - b, k, a + b and x are four consecutive terms of an A.P.. then find ratio between k and x I'm terms of a and b​

Answer 1

Answer:

k:x = a:(2b+a)

Step-by-step explanation:

(a-b), k, (a+b), x

These are terms of an AP

So difference between any two consecutive terms must be equal. (Common difference)

k - (a-b) = x - (a+b)

k - a + b = x - a -b

2b = x - k                                                ( Result 1 )

Also

k - (a-b) = (a+b) - k

k - a + b = a + b - k

2k = 2a

k = a                                                       ( Result 2 )

2b = x - k  (From Result 1)

2b = x - a

2b + a = x

k/x = a/(2b+a)

k:x = a:(2b+a)

Might Help, Thanks!

Answer 2

full question with explanation