If 5 times the 5th term of an A.P is equal to 8times its 8th term, show that it's 13th term is 0
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Answer:
5(a5)=8(a8)
5(a+4d)=8(a+7d)
5a+20d=8a+56d
20d-56d=8a-5a
-36d=3a
3a+36d=0
3(a+12d)=0
a+12d=0
a13=0
hence proved
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