What's on a Grade 11 sequences 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 the difference between arithmetic and geometric sequences?

Arithmetic sequences add a constant, the common difference d, each term. Geometric sequences multiply by a constant, the common ratio r.

What is the formula for the nth term?

Arithmetic: tₙ = a + (n − 1)d. Geometric: tₙ = arⁿ⁻¹. Here a is the first term. Some textbooks write aₙ instead of tₙ.

How do I find which term a number is?

Write the general term, set it equal to the number, and solve for n. In 5, 9, 13, …, tₙ = 4n + 1, so 81 is t₂₀.

How do I find a and d from two terms?

Subtract the two terms and divide by the number of steps between them to get d, then work back to the first term. If t₅ = 17 and t₁₂ = 45, then 7d = 28, so d = 4 and a = 1.

What is a recursive formula?

It gives the first term and the rule from one term to the next, like t₁ = 5, tₙ = tₙ₋₁ + 4. An explicit formula like tₙ = 4n + 1 jumps straight to any term.

Grade 11 · Sequences

Grade 11 Sequences Worksheets

Printable Grade 11 sequences 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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Free to start · answer keys included · free accounts get 5 Standard packs to use within 14 days · no card required.

Grade 11 examples by level

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

Beginner $t_{1} = 1$ , $t_{n} = 2t_{n-1} - 2$ . What are the first four terms?Answer1, 0, −2, −6
IntermediateWhat is a recursive formula for −10, −15, −20, −25, …?Answer $t_{1} = -10$ , $t_{n} = t_{n-1} - 5$
AdvancedHow many terms are in the sequence −10, −3, 4, …, 172?Answer27 terms

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

Download a free Grade 11 sequences worksheet

One page, ready to print, no account needed. Pick a level:

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 sequences practice matters

Arithmetic sequences are linear functions sampled at whole numbers, and geometric sequences are exponential ones. Seeing that link here makes compound interest, annuities and exponential growth feel familiar later.

Grade 11 is the only grade Mathter offers sequences worksheets for.

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

Frequently asked questions

What's on a Grade 11 sequences 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 the difference between arithmetic and geometric sequences?: Arithmetic sequences add a constant, the common difference d, each term. Geometric sequences multiply by a constant, the common ratio r.
What is the formula for the nth term?: Arithmetic: $t_{n} = a + (n - 1)d$ . Geometric: $t_{n} = ar^{n-1}$ . Here a is the first term. Some textbooks write $a_{n}$ instead of $t_{n}$ .
How do I find which term a number is?: Write the general term, set it equal to the number, and solve for n. In 5, 9, 13, …, $t_{n} = 4n + 1$ , so 81 is $t_{20}$ .
How do I find a and d from two terms?: Subtract the two terms and divide by the number of steps between them to get d, then work back to the first term. If $t_{5} = 17$ and $t_{12} = 45$ , then 7d = 28, so d = 4 and a = 1.
What is a recursive formula?: It gives the first term and the rule from one term to the next, like $t_{1} = 5$ , $t_{n} = t_{n-1} + 4$ . An explicit formula like $t_{n} = 4n + 1$ jumps straight to any term.

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Free to start · answer keys included · free accounts get 5 Standard packs to use within 14 days · no card required.