Math, asked by sbbrahma7777, 1 year ago

in an ap, if pth term is 1/q and qth term is 1/p profe thatthe sum of fist pq term is 1+pq/2 where p≠q

Answers

Answered by abhi178
5
let a is the first term and d is the common difference of AP
now,
pth term =1/q
a+(n-1) d=1/q ---------(1)

again
qth term=1/p
a+(q-1) d=1/p -------------(2)
solve equation (1) and (2)
d=1/pq
a =1/pq
now ,
sum of (pq)th term =pq/2 {2/pq+(pq-1) 1/pq}
=pq/2 {(1+pq)/pq}
= (1+pq)/2
hence proved

abhi178: please mark as br
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Answered by sanket12sawant
0

Answer:

Step-by-step explanation:

yes he or she is right

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