Question

If a, b, c, d, e, f are in A.P. with common difference 3, then find e-c.​

Answer 1

Answer:

2(d−c)

Step-by-step explanation:

Answer

Correct option is

B

2(d−c)

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)