If the 8th term of an A.P is zero. Prove that its 38th term is triple its 18th term.
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a +7d= 0
a= -7d
as its the 38th term
a₃₈ = a +37d
= -7d + 37d
= 30d
for the 18th term
a₁₈= a +17d
= -7d + 17d
= 10d
so a₃₈ = 3a₁₈
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