Confusing AP

Algebra Level pending

The 3 3 rd term and the 72 72 nd term of an arithmetic progression are equal. Find the common difference.


The answer is 0.

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2 solutions

Mahdi Raza
Jun 17, 2020

\[\begin{align} a_{3} &= a_{72} \\ a + 2d &= a + 71d \\ 2d &= 71d \\ 69d &= 0 \\ d &= \boxed{0}

\end{align}\]

Since the 3 3 rd term and the 72 72 nd term of this arithmetic progression are equal, the common difference is 0 \fbox 0 .

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