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Question 3 (v)
In an AP:
(v) Given d = 5, S9=75, find d and a9.


Solution

Given that, d=5,S9=75As Sn=n2[2a+(n1)d]S9=92[2a+(91)5]25=32(2a+40)25=3a+60a=353an=a+(n1)d,a9=a+(91)(5)=353+8(5)=353+40=(35+1203)=853

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