What's on a Grade 11 geometric sequence worksheet?

Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 11, with beginner, intermediate, and advanced options so a teacher, tutor, or parent can match the learner's level.

What is a geometric sequence?

A list of numbers where you multiply by the same amount, the common ratio r, to get from each term to the next. 3, 6, 12, 24 is geometric with r = 2.

What is the formula for the nth term?

tₙ = arⁿ⁻¹, where a is the first term. Some textbooks write aₙ instead of tₙ.

How do I find which term a number is?

Divide it by a, then find the power of r that gives the result. In 5, 10, 20, …, 640 ÷ 5 = 128 = 2⁷, so n − 1 = 7 and 640 is t₈.

What happens when r is negative or a fraction?

A negative r makes the signs alternate: 2, −6, 18, −54. A ratio between 0 and 1 makes the terms shrink: 486, 162, 54, 18.

Grade 11 · Geometric Sequences

Grade 11 Geometric Sequence Worksheets

Printable Grade 11 geometric sequence worksheets, sized to fit one page. Download a free sample below, or pick beginner, intermediate, or advanced and generate a fresh pack with answer keys in seconds. No AI, no wrong answers.

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Grade 11 examples by level

Read each question carefully. They're not all the same kind of question.

Beginner $t_{1} = 1$ , $t_{n} = 2t_{n-1}$ . What are the first four terms?Answer1, 2, 4, 8
IntermediateWhat is a recursive formula for 2, 4, 8, 16, …?Answer $t_{1} = 2$ , $t_{n} = 2t_{n-1}$
AdvancedHow many terms are in the sequence 9, 18, 36, …, 2304?Answer9 terms

Real problems from the generator: always mathematically correct, and every pack is different.

Download a free Grade 11 geometric sequence worksheet

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These three sheets are fixed, so you can bookmark or share them and get the same page back. Answer keys and fresh numbers come with a free account.

Why Grade 11 geometric sequence practice matters

A geometric sequence is an exponential function whose inputs are 1, 2, 3, and so on. Compound interest, population growth and half-life all follow the same pattern, so this is the start of the exponential unit.

Grade 11 is the only grade Mathter offers geometric sequence worksheets for.

Want the full method, tips, and common mistakes? Read the Geometric Sequences Worksheets guide.

Frequently asked questions

What's on a Grade 11 geometric sequence worksheet?: Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 11, with beginner, intermediate, and advanced options so a teacher, tutor, or parent can match the learner's level.
What is a geometric sequence?: A list of numbers where you multiply by the same amount, the common ratio r, to get from each term to the next. 3, 6, 12, 24 is geometric with r = 2.
What is the formula for the nth term?: $t_{n} = ar^{n-1}$ , where a is the first term. Some textbooks write $a_{n}$ instead of $t_{n}$ .
How do I find which term a number is?: Divide it by a, then find the power of r that gives the result. In 5, 10, 20, …, 640 ÷ 5 = 128 = $2^{7}$ , so n − 1 = 7 and 640 is $t_{8}$ .
What happens when r is negative or a fraction?: A negative r makes the signs alternate: 2, −6, 18, −54. A ratio between 0 and 1 makes the terms shrink: 486, 162, 54, 18.

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Free to start · answer keys included · free accounts get 14 days of Standard · no card required.