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if the pth term of an a.p is q and its qth term is p, then what is it's nth term?
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Answer:
p + q - n
Step-by-step explanation:
Let first term = a
common difference = d
pth term = q
a + (p-1) d = q ........(1)
qth term = p
a + (q-1) d = p ..........(2)
From 1 and 2 we get -
a = p + q - 1
d = -1
nth term = a + (n-1) d
= p + q - 1 + (n-1) (-1)
= p + q - 1 - n + 1
= p + q - n
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