Question

if pth term of an AP is q and qth term of an AP is p
Then find rth term​

Answer 1

Step-by-step explanation:

let ist term =a. common difference =d

pth term = q

a+ (p-1)d =q.....(1)

qth term =p

a+ (q-1)d =p.......(2)

subtract (1) and (2)

(p-1-q+1)d = q-p

(p-q)d = q-p

d= -1

put in (1)

a+ (p-1)(-1) =q

a= q +p-1

rth term =a+ (r-1) d

= q+p-1 +(r-1)(-1)

= q+p -1 -r +1

= q+p-r