What's the best way to master Arithmetic Progression Analogy quickly?

Master Arithmetic Progression Analogy by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Arithmetic Progression Analogy

Arithmetic Progression Analogy problems involve number pairs where the second number is related to the first through an arithmetic progression (constant difference). Patterns include: A : A+d, A : A+2d, or A : A + f(A). These problems test understanding of arithmetic sequences and patterns.

10Worksheets

200+Practice Questions

IntermediateDifficulty

2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks

Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Arithmetic Progression Analogy

Prerequisites

Arithmetic progression concept Common difference Nth term formula Pattern recognition

Why This Matters: Arithmetic Progression Analogy problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test pattern recognition and arithmetic progression understanding.

How to Solve Arithmetic Progression Analogy Problems

Step 1: Identify the two numbers in the given analogy pair (A:B)

Step 2: Calculate the difference: d = B - A

Step 3: Check if the same difference applies (constant d)

Step 4: Alternative: d may increase by a fixed amount (second-order AP)

Step 5: Apply the same difference to the second pair's first number

Step 6: For multi-term analogies, identify the AP pattern

Step 7: Present the answer

Pro Strategy: For AP analogies, find the common difference. Apply the same difference to the second pair. For increasing differences, calculate the pattern of differences.

Example Problem

Example: 2 : 7 :: 5 : ? Solution: Step 1: First pair: 2 and 7 Step 2: Difference = 7 - 2 = 5 Step 3: Relationship: Add 5 to first number Step 4: Apply to 5: 5 + 5 = 10 Answer: 10

Pro Tips & Tricks

AP: each term = previous term + common difference
Difference d = B - A (for single-step analogy)
For multi-term: d₁, d₂, d₃ may form their own AP
Example of increasing differences: 2→5 (+3), 5→9 (+4), 9→14 (+5)
Second-order AP: differences increase by constant
Check if the pattern involves position number (nth term formula)

Shortcut Methods to Solve Faster

If A:B with constant difference d, then ? = C + d

If differences increase by k each step, next difference = last d + k

For AP series, the middle term is average of extremes

Sum of AP = n/2 × (first + last)

Common Mistakes to Avoid

Using multiplication when addition is correct

Not verifying the pattern with all given terms

Assuming constant difference when differences change

Forgetting that differences can be negative

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Arithmetic Progression Analogy. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems