M.4HSTR.14

Derive the formula for the sum of a geometric series (when the common ratio is not 1), and use the formula to solve problems. (e.g., Calculate mortgage payments.)

Example Problems
Brianna increases her daily running distance by 10% each day. On Day 1, she runs kilometers. Over 5 consecutive days, she runs a total of 66.55 km. Find , rounding to two decimal places.
Harmony earns a $42000 salary in the first year of her career. Each year, she gets a 4% raise.

Find the expression which gives the total amount Harmony has earned in her first
n years of her career?
Vince went on a 3 day hiking trip.

Each day, he walked
the distance that he walked the day before.

He walked
83.25 kilometers total in the trip.

How far did Vince walk on the 1st day of the trip?
(Round your final answer to the nearest kilometer.)
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