If the p th term if an A.P is q and the q th term is p, prove that its n th term is (p+q-n).......
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Answer:
Explanation:
let the first term be a and common difference be d,
p th term,
=a+(p-1)d,
=q⇒i,
q th term,
=a+(q-1)d,
=p⇒ii,
ii-i gives,
(q-p)d=p-q ord=-1,
i gives a,
=q-(p-1)d,
=q-(p-1)(-1),
=q+p-1,
Hence,
n th term,
=a+(n-1)d,
=q+p-1+(n-1)(-1),
=q+p-1+n+1,
=p+q-n,proved.
Hope it helps.
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