# How do you find the number of terms in the following geometric series: 4 + 3 + 2.25 + 0.02255?

May 8, 2016

$4$ terms

#### Explanation:

$\underbrace{4} + 3 + 2.25 + 0.02255$
$1 \text{ term}$

$\underbrace{4 + 3} + 2.25 + 0.002255$
$2 \text{ terms}$

$\underbrace{4 + 3 + 2.25} + 0.002255$
color(white)("X")3" terms"

$\underbrace{4 + 3 + 2.25 + 0.002255}$
color(white)("XXXXX")4" terms"