Geometric Series: Worksheet 10 - Expert Practice Geometric Series EXPERT

Ready to master Geometric Series? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve geometric series reasoning tricks, handle fast geometric series solving, and perfect geometric series mastery with our step-by-step solutions.

📝 Worksheet 10 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:

Understand the logic behind fast geometric series solving
Learn step-by-step approaches to application-based learning
Achieve mastery with the most difficult problem types
Perfect your speed and accuracy under time pressure
Master geometric series reasoning tricks through focused practice

Your progress through Geometric Series

Worksheet 10 of 10 (100% complete)

Question 1

Find the next term in the series: 8, 16, 32, 64, ?

This is a geometric series with common ratio 2. Next term = 64 × 2 = 128

Question 2

Find the next term in the series: 7, 21, 63, 189, ?

This is a geometric series with common ratio 3. Next term = 189 × 3 = 567

Question 3

Find the next term in the series: 2, 3, 4.5, 6.75, ?

This is a geometric series with common ratio 1.5. Next term = 6.75 × 1.5 = 10.12

Question 4

Find the next term in the series: 3, 12, 48, 192, ?

This is a geometric series with common ratio 4. Next term = 192 × 4 = 768

Question 5

Find the next term in the series: 7, 28, 112, 448, 1792, ?

This is a geometric series with common ratio 4. Next term = 1792 × 4 = 7168

Question 6

Find the next term in the series: 8, 24, 72, 216, ?

This is a geometric series with common ratio 3. Next term = 216 × 3 = 648

Question 7

Find the next term in the series: 8, 16, 32, 64, ?

This is a geometric series with common ratio 2. Next term = 64 × 2 = 128

Question 8

Find the next term in the series: 8, 20, 50, 125, ?

This is a geometric series with common ratio 2.5. Next term = 125 × 2.5 = 312.5

Question 9

Find the next term in the series: 8, 4, 2, 1, 0.5, ?

This is a geometric series with common ratio 0.5. Next term = 0.5 × 0.5 = 0.25

Question 10

Find the next term in the series: 4, 12, 36, 108, ?

This is a geometric series with common ratio 3. Next term = 108 × 3 = 324

Question 11

Find the next term in the series: 4, 8, 16, 32, 64, ?

This is a geometric series with common ratio 2. Next term = 64 × 2 = 128

Question 12

Find the next term in the series: 8, 24, 72, 216, 648, ?

This is a geometric series with common ratio 3. Next term = 648 × 3 = 1944

Question 13

Find the next term in the series: 6, 12, 24, 48, ?

This is a geometric series with common ratio 2. Next term = 48 × 2 = 96

Question 14

Find the next term in the series: 6, 15, 37.5, 93.75, ?

This is a geometric series with common ratio 2.5. Next term = 93.75 × 2.5 = 234.38

Question 15

Find the next term in the series: 5, 15, 45, 135, ?

This is a geometric series with common ratio 3. Next term = 135 × 3 = 405

Question 16

Find the next term in the series: 6, 24, 96, 384, ?

This is a geometric series with common ratio 4. Next term = 384 × 4 = 1536

Question 17

Find the next term in the series: 4, 12, 36, 108, 324, ?

This is a geometric series with common ratio 3. Next term = 324 × 3 = 972

Question 18

Find the next term in the series: 4, 8, 16, 32, ?

This is a geometric series with common ratio 2. Next term = 32 × 2 = 64

Question 19

Find the next term in the series: 6, 18, 54, 162, 486, ?

This is a geometric series with common ratio 3. Next term = 486 × 3 = 1458

Question 20

Find the next term in the series: 2, 1, 0.5, 0.25, 0.12, ?

This is a geometric series with common ratio 0.5. Next term = 0.12 × 0.5 = 0.06

🏆 Congratulations! You've mastered Geometric Series - all 10 worksheets completed!

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