if the pth term of an ap be q and qth term be p, then it's rth term will be??

Question

option is

(a) p+q+r

(b) p+q-r

(c) p+r-q

(d) p-r-q

Answer 1

The terms of an arithmetic progression follow the relationship below:   a_x = D*x + a₀

We are told:

   p = D*q + a₀

   q= D*p + a₀

We can use elimination (subtraction of equations).

   p - q = D*q - D*p

We can solve for D.

   D = (p-q)/(q-p) = -1

We can determine a₀.

   p = -q + a₀

   a₀ = p+q

Thus, for this arithmetic progression, the following relationship holds:

   a_x = -x + p + q

So,

   a_r = -r + p + q

 

(choice B is correct)