Question

Find the next term in the sequence: ($3, 6, 12, 24, ?$)

• A. 36
• B. 42
• C. 48
• D. 96

Hint:

Always check for both addition and multiplication first. If the gaps between numbers are increasing rapidly, it’s likely a multiplication (Geometric) pattern!

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
A sequence is a set of numbers following a specific mathematical rule. To find the next term, we must identify the pattern between consecutive terms.

Step 2: Identifying the Pattern:
Let's check the relationship between the terms:
• $3 \times 2 = 6$
• $6 \times 2 = 12$
• $12 \times 2 = 24$ This is a Geometric Progression (GP) where each term is multiplied by a common ratio of $2$.

Step 3: Calculation:
To find the next term, multiply the last given term by 2: \[ 24 \times 2 = 48 \]

Step 4: Final Answer:
The next term in the sequence is 48.