Question

a b c de f are in ap then e-c is

Answer 1

Answer:

AP sequence is

a ,b, c, d , e ,f

Let the common difference as x

So

a + X = b

a+ 2x = c

a+ 3x = d

a + 4x = e

a+ 5x = f

Now ,

e - c. = a+4x - a- 2x

e-c. = 2x. ↗ 1

d - c = a+ 3x - a-2x

d -c = X. ↗2

From 1 and 2 we get

e -c = 2 (d-c)