Three infinite series are defined as follows: Rank the series by their sums from…

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

Problem

Three infinite series are defined as follows:

S_1 = \displaystyle \sum_{n=0}^{\infty} 4(0.6)^{n}

S_2 = \displaystyle \sum_{n=0}^{\infty} 6(0.4)^{n}

S_3 = \displaystyle \sum_{n=0}^{\infty} 3(0.8)^{n}

Rank the series by their sums from least to greatest.