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nth Term of an AP

37. In an A.P...

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37. In an A.P.,if the pth term is 1/q and the qth term is 1/p(p is not equal to q), prove that the sum of first pq term must be 1/2(pq+1)

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A . P .,

p^{t h}

\frac{1}{q}

q^{t h}

\frac{1}{p}

, prove that the sum of first

p q

\frac{1}{2} (p q + 1)

p \neq q

.

Q. In an A.P., if

p^{t h}

\frac{1}{q}

q^{t h}

\frac{1}{p}

, prove that the sum of first

p q

\frac{1}{2} (p q + 1)

p \neq q

In an A.P. if $p^{t h}$ term is $\frac{1}{q} and q^{t h}$ term is

$\frac{1}{p}$ . Prove that the sum of first pq terms is

$\frac{1}{2}$ $(p q + 1),$ where p $\neq$ q

A . P .,

p^{t h}

\frac{1}{q}

q^{t h}

\frac{1}{p},

prove that the sum of first

p q

\frac{1}{2} (p q + 1),

p \neq q

Q. In an arithmetic progression, the p^th term is 1/q and the q^th term is 1/p. Find the sum of the first ‘pq’ terms of the progression.

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