Question

If a, b, c, d, e, f are in A.P. then d - b = .....
a. 2(c-a)
b. 2(f-c)
c. 2(d-c)
d. 2(f-b)​

Answer 1

Step-by-step explanation:

Let x be the common difference of the A.P. a,b,c,d,e,f.

As e is the 5th term

∴e=a+(5−1)x(∵a

n

=a+(n−1)d), where a_n is the nth term

⇒e=a+4x ...(1)

and c=a+2x ...(2)

∴ Using equation (1) and (2), we get

e−c=a+4x−a−2x

⇒e−c=2x=2(d−c)