Sum of a finite geometric series, and infinite geometric series
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
Ari works out 3 + 6 + 12 + … + 384 on a math club card. What is the sum?
Esme works out 486 + 162 + 54 + … + 2 on a math club card. What is the sum?
Kira writes the infinite series 27 + 9 + 3 + … on the class board. What number does its running total approach?
Luz writes the infinite series 48 + 12 + 3 + … on the class board. What number does its running total approach?
Noah writes the infinite series 36 − 24 + 16 − … on the class board. What number does its running total approach?
Pia's grandparents add $200 to a savings fund at the end of each year, and it grows 4% a year. To the nearest cent, what does it hold right after deposit 5?
Ren's parents add $500 to a savings fund at the end of each year, and it grows 3% a year. To the nearest cent, what does it hold right after deposit 6?
Bo writes the infinite series 27 − 9 + 3 − … on the class board. Which statement about its total is right?
- Total -81, since 27 ÷ (-1/3) = -81
- Total 21, the sum of the terms shown
- No total, since the terms never reach 0 and keep going
- Total 20.25, since 27 ÷ (1 − (-1/3)) = 20.25
Esme writes the infinite series 16 + 20 + 25 + … on the class board. Which statement about its total is right?
- Total 12.8, since 16 ÷ (5/4) = 12.8
- Total 61, the sum of the terms shown
- Total -64, since 16 ÷ (1 − 5/4) = -64, applying the formula anyway
- No total, since r = 5/4 and the terms keep growing
Jun writes the infinite series 8 − 12 + 18 − … on the class board. Which statement about its total is right?
- Total 3.2, since 8 ÷ (1 − (-3/2)) = 3.2
- Total 14, the sum of the terms shown
- Total -16/3, since 8 ÷ (-3/2) = -16/3
- No total, since r = -3/2 and the total swings further each time