If p th term of an A.P is 1/q and q th term is 1/q , prove that the sum of the first pq terms is 1/2[pq+1]
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I hope it helps the proof is given
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Step-by-step explanation:
a +(p-1) d= 1/q----1
a+(q-1) d = 1/p-----2
On sub 2 from 1
pd - d- qd+d =1/q - 1/p
d (p-q) = p-q/pq
D=1/PQ
On putting in 1
a + (p-1) ×1/pq=1/pq
a = 1/pq
Spq = PQ/2 (2/pq +pq-1 ×1/pq)
Pq/2 × 1+pq/pq
1/2 (1+pq)
Hence proved
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