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