Question

if pth term of an AP is 1/q,qth term is 1/p ,show that pqth term is 1.

Answer 1

Your ans. is here

Answer 2

Hallo dear ^ ^

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Pth = 1/q => a+( P - 1 )d = 1/q -------( 1 )

qth = 1/p => a+( q - 1 ) d = 1/p -------( 2 )

subtracting equation ( 1 ) and ( 2 )

( P - q ) d = 1/q - 1/p

( P - q ) d = ( P - q ) / pq

[ d = 1 / Pq ]

putting the value of d in equation ( 1 )

a + ( P - 1 ) 1 / pq = 1/q

a + 1/q - 1/pq = 1/q

a = 1/q + 1/pq - 1/q

[ a = 1 / pq ]

Now , we have to prove pqth term is 1

so ,

pqth = a+( pq - 1 ) d

= 1/pq + ( pq - 1 ) × 1 / pq

= 1/pq + 1 - 1 / pq

= 1

hence , pqth term is 1 .

~~~~~~~~~~~~ proved ~~~~~~~~~~~~~

# mark it brainlist answer.

# thank you ^ ^