ReasoningAbility.com

Geometric Series - Intermediate Level: tricky scenarios handling Geometric Series INTERMEDIATE

This expert challenge 📈 worksheet focuses on Geometric Series - a key topic in Number Series. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve geometric series, geometric series tricks, and geometric series shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Geometric Series
Worksheet 5 of 10 (44% complete)

Question 1

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 2

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 3

Find the next term in the series: 5, 12.5, 31.25, 78.12, 195.31, ?
This is a geometric series with common ratio 2.5. Next term = 195.31 × 2.5 = 488.27

Question 4

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 5

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 6

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 7

Find the next term in the series: 7, 14, 28, 56, ?
This is a geometric series with common ratio 2. Next term = 56 × 2 = 112

Question 8

Find the next term in the series: 2, 5, 12.5, 31.25, 78.12, ?
This is a geometric series with common ratio 2.5. Next term = 78.12 × 2.5 = 195.3

Question 9

Find the next term in the series: 2, 6, 18, 54, ?
This is a geometric series with common ratio 3. Next term = 54 × 3 = 162

Question 10

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 11

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 12

Find the next term in the series: 7, 14, 28, 56, ?
This is a geometric series with common ratio 2. Next term = 56 × 2 = 112

Question 13

Find the next term in the series: 5, 10, 20, 40, 80, ?
This is a geometric series with common ratio 2. Next term = 80 × 2 = 160

Question 14

Find the next term in the series: 5, 15, 45, 135, 405, ?
This is a geometric series with common ratio 3. Next term = 405 × 3 = 1215

Question 15

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 16

Find the next term in the series: 3, 9, 27, 81, 243, ?
This is a geometric series with common ratio 3. Next term = 243 × 3 = 729

Question 17

Find the next term in the series: 5, 10, 20, 40, 80, ?
This is a geometric series with common ratio 2. Next term = 80 × 2 = 160

Question 18

Find the next term in the series: 6, 3, 1.5, 0.75, ?
This is a geometric series with common ratio 0.5. Next term = 0.75 × 0.5 = 0.38

Question 19

Find the next term in the series: 6, 12, 24, 48, 96, ?
This is a geometric series with common ratio 2. Next term = 96 × 2 = 192

Question 20

Find the next term in the series: 6, 18, 54, 162, ?
This is a geometric series with common ratio 3. Next term = 162 × 3 = 486
Previous Worksheet Next Worksheet