Question

The sum of the infinite G.P. 0.171 – 0.114 + 0.076 … is

Answer 1

Step-by-step explanation:

$a = t1 = 0.171 \\ t2 = - 0.114 \\ r = \frac{t2}{t1} = 0.6667 \\ \\ sum \: of \: infinite \: terms \: will \: be = > \\ \\ sn = \frac{a}{1 - r} \\ \: \: \: \: \: \: = \frac{0.171}{1 - 0.6667} \\ \: \: \: \: \: \: = \frac{0.171}{0.333} \\ \: \: \: \: \: \: = 0.5135 \\ \\ \\ so \: sum \: of \: infinite \: terms \: \\ of \: g.p \: will \: be = >0.5135$