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Grade 11 · Math · Algebra 2

11th grade Sum of a finite geometric series, and infinite geometric series worksheet

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Sum of a finite geometric series, and infinite geometric series

Grade 11 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Luz works out Σ from k = 2 to 6 of 3 · 2^k for math club. What is the sum?

  2. Milo works out Σ from k = 1 to 5 of 5 · 3^k for math club. What is the sum?

  3. Ren reads on a math club card that an infinite geometric series has total 36 and ratio 1/4. What is its first term?

  4. Tala reads on a math club card that an infinite geometric series has total 50 and ratio 2/5. What is its first term?

  5. Zee reads on a math club card that an infinite geometric series has total 60 and ratio -1/2. What is its first term?

  6. Ari reads on a math club card that an infinite geometric series has total 45 and ratio -1/3. What is its first term?

  7. Bo watches the gym teacher drop a soft play ball from 9 feet. Each bounce rises 2/5 of the height before. If it bounced forever, how many feet would it travel up and down?

  8. Esme watches the gym teacher drop a bouncy ball from 8 feet. Each bounce rises 3/4 of the height before. If it bounced forever, how many feet would it travel up and down?

  9. Jun drops a rubber bouncy ball from 5 feet, and each bounce rises 4/5 of the height before. If it bounced forever, how many feet would it travel up and down?

  10. Kira drops a bouncy ball from 4 feet, and each bounce rises 3/4 of the height before. If it bounced forever, how many feet would it travel up and down?

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11th grade Sum of a finite geometric series, and infinite geometric series worksheet – printable
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About this worksheet

Sums of finite and infinite geometric series. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can keep a running total of a geometric table and use S = a(1 − rⁿ)/(1 − r) for the total in row n.
  • I can add up equal yearly deposits that grow by the same percent.
  • I can tell when an infinite geometric series has a total (r between -1 and 1) and find it with a ÷ (1 − r).

Standard: A-SSE.B.4

Words to know

geometric series: A series whose terms multiply by the same ratio r each row.

ratio (r): The number each term is multiplied by: term ÷ the term before.

finite sum: The total of a set number of terms: S = a(1 − rⁿ)/(1 − r).

infinite series: A series whose terms go on forever, shown by the dots …

converges: The running total levels off at one number; it happens when -1 < r < 1.

growth factor: 1 + the rate: 4% growth multiplies by 1.04.

Common mistakes

Gave the last term instead of the total of all the terms.

Stopped one term early, using n − 1 terms. Count the terms or deposits together before using the formula.

Multiplied the running total by the ratio instead of adding the next term. Add 3 + 6 + 12 by hand and compare with 9 × 2.

What to say

Ask: does the question want one row, or every row added?

Questions parents ask

What is the most common mistake with sum of a finite geometric series, and infinite geometric series?

Gave the last term instead of the total of all the terms.

How can I help my child with sum of a finite geometric series, and infinite geometric series?

Ask: does the question want one row, or every row added?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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