DIRECTION for the question: In the following question, a series is given with term/s missing. Choose the correct alternative to replace the question mark in the given series.
1, 3, 4, 8, 15, 27, ?
Show Hint
In number series:
• When differences don't show a clear pattern, check for additive sequences, where a term is the sum of two or more of its preceding terms.
Step 1: Understanding the Concept:
Check if each term is a sum of the preceding terms (similar to the Fibonacci sequence). Step 2: Detailed Explanation:
1 + 3 + 4 = 8
3 + 4 + 8 = 15
4 + 8 + 15 = 27 Step 3: Calculation:
Following the logic that each term is the sum of the three previous terms:
Next term = $8 + 15 + 27 = 50$. Step 4: Final Answer:
The missing term is 50. Thus, the correct option is (c).