Find the sum of a finite geometric series. the smiths spent $2,000 on clothes in a particular year. if they increase the amount they spend on clothes by 10% each year, the smiths will spend a total of $ on clothing in 4 years.

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus .

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

1/5^2 = 7.56/45