Question

6.The sum to infinity of a G.P is 60. If the first term of the series 12, find its second term of the series 12, find its second term. A. 9

Answer 1

Step-by-step explanation:

The sum of a Geometric Progression is called a series.

The sum of a infinite series is defined as

$s _{n} = \frac{a _{1}}{1 - r}$

Plugging in values gives us

$60 = \frac{12}{1 - r}$

Solving for r, gives us

$1 - r = \frac{1}{5}$

$- r = \frac{ - 4}{5}$

$r = \frac{4}{5}$

So since we find the radius, to find the second term just multiply 12 by 4/5

${12} \times \frac{4}{5} = \frac{48}{5}$