Question

If a, b, c, d, e, f are in AP, then (d -b) is equal to

• A. 2 (a - b)
• B. e - c
• C.
• D. 2 x (c - b)

Answer 1

Answer: (B), (D)

The correct options are
B

e - c

D

2 x (c - b)

If a, b,c,d,ef are in A.P, then the common difference, c.d is equal to (b -a).

We can write the A.P as

$\begin{array}{cccccc}& a+c.d& a+2(c.d)& a+3(c.d)& a+4(c.d)& a+5(c.d)\\ & \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow & & & & \\ a& b& c& d& e& f\end{array}$

d - b = 2 c.d

We will go through the options and find if it is correct

(A)2(a-b) =-2 c.d (B)e - c=2 c.d

(c)$\frac{f-c}{2}=\frac{3}{2}c.d$ (D)2(c -b) =2 c.d