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?
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.)
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.)
Khan Academy ResourcesFinite geometric seriesFinite geometric series word problemsGeometric series introFinite geometric series word problem: mortgageFinite geometric series formulaGeometric series introductionGeometric series with sigma notationWorked example: finite geometric series (sigma notation)Finite geometric series word problem: social mediaGeometric series word problems: swingGeometric series word problems: hikeWorked examples: finite geometric series

1-on-1 AI tutoring aligned to M.4HSTR.14. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →