SESSIUI 15 an AP.
In a given AP if pth term is q and the oth term is p, then show that
nth term is (p+q-n).
Let a
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11th
Maths
Sequences and Series
General term of an AP
If the pth term of an AP is...
MATHS
If the pth term of an AP is q and the qth term is p, prove that its nth term is (p+q-n).
December 20, 2019avatar
Habeez Anbalagan
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ANSWER
pth term = q
a+(p−1)d=q
qth term = p
a+(q−1)d=p
Solving these equations, we get,
d=−1
a=(p+q−1)
Thus,
nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)
December 20, 2019
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Toppr
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