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Geometric Sequences & Series - Worksheet 1 - 11th Grade

Easy

Find terms and sums with explicit starting indices and convergence conditions.

easy: Start with the preview and follow the worked example.

18 problems · 20-25 minutes · Skills: sequences, geometric, series

About This Worksheet

This easy-level worksheet contains 18 problems designed for 11th Grade students practicing geometric sequences & series. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Factor polynomials, use exponent laws and solve equations with domain restrictions.

  • Find terms and sums with explicit starting indices and convergence conditions.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A geometric sequence has a₁ = 5 and common ratio 4. Find a4.
Solution Steps:
  1. Use aₙ = a₁r^(n − 1).
Answer: 320
Tip: Check your result using the method in the example before moving to the next question.
1
A geometric sequence has a₁ = 3 and common ratio 3. Find a6.
2
A geometric sequence has a₁ = 9 and common ratio 2. Find the sum of its first 5 terms.
3
A geometric sequence has a₁ = 10 and common ratio 4. Find a3.
4
A geometric sequence has a₁ = 8 and common ratio 3. Find the sum of its first 5 terms.
5
A geometric sequence has a₁ = 8 and common ratio 5. Find a4.
6
A geometric sequence has a₁ = 12 and common ratio 5. Find the sum of its first 4 terms.
7
A geometric sequence has a₁ = 9 and common ratio 4. Find a4.
8
A geometric sequence has a₁ = 2 and common ratio 2. Find the sum of its first 4 terms.
9
A geometric sequence has a₁ = 2 and common ratio 4. Find a6.
10
A geometric sequence has a₁ = 5 and common ratio 3. Find the sum of its first 7 terms.
11
A geometric sequence has a₁ = 12 and common ratio 2. Find a5.
12
A geometric sequence has a₁ = 12 and common ratio 3. Find the sum of its first 6 terms.
13
A geometric sequence has a₁ = 6 and common ratio 5. Find a8.
14
A geometric sequence has a₁ = 9 and common ratio 5. Find the sum of its first 8 terms.
15
A geometric sequence has a₁ = 2 and common ratio 3. Find a7.
16
A geometric sequence has a₁ = 2 and common ratio 3. Find the sum of its first 4 terms.
17
A geometric sequence has a₁ = 1 and common ratio 5. Find a4.
18
A geometric sequence has a₁ = 10 and common ratio 2. Find the sum of its first 5 terms.

Answer Key

1. 7292. 2793. 1604. 9685. 10006. 18727. 5768. 309. 204810. 546511. 19212. 436813. 46875014. 87890415. 145816. 8017. 12518. 310

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Frequently Asked Questions

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Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this sequences & series worksheet cover?

This worksheet focuses on sequences, geometric, series. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.