Determine whether the sequence ( 1 2 , ; - 1 6 , ; 1 18 , ; - 1 54 , ; ) is an…

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Determine whether the sequence 12,  −16,  118,  −154,  …\dfrac{1}{2},\; -\dfrac{1}{6},\; \dfrac{1}{18},\; -\dfrac{1}{54},\; \ldots is an arithmetic progression or a geometric progression. If it fits one of these types, state the corresponding common difference or common ratio.

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