Date :
Page No.
If the sum of first in terms of an A.PL
Same as the sum of its first in tering
& how that the sum of its Risxt men]
terms is zero.
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1
Answer:
ANSWER
S
p
=S
q
⇒
2
p
(2a+(p−1)d)=
2
q
(2a+(q−1)d)
⇒ p(2a+(p−1)d)=q(2a+(q−1)d)
⇒ 2ap+p
2
d−pd=2aq+q
2
d−qd
⇒ 2a(p−q)+(p+q)(p−q)d−d(p−q)=0
⇒ (p−q)[2a+(p+q)d−d]=0
⇒ 2a+(p+q)d−d=0
⇒ 2a+((p+q)−1)d=0
⇒ S
p+q
=0
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