One of the important question from ML Agarwal of Class10.

If the 8th term of an A.P is zero, prove that it’s 38th term is triple of its 18th term.

Class 10, ML Agarwal, Arithmetic Progression Avichal publication, chapter 9, question no. 17

Rajan@2021Guru

# If the 8th term of an A.P is zero, prove that it’s 38th term is triple of its 18th term.

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T8=a+7d=0

⇒a=−7d

T38=a+37d

=−7d+37d

=30d

T18=a+17d

=−7d+17d

=10d.

Clearly T38=3(T18).