Question

In each of the following questions a number series is given with one missing (?) term. The term is given as one of the alternatives among the five numbers given in the answer choic Find the term.
1, 3, 4, 8, 15, 27, ?

• A. 37
• B. 44
• C. 50
• D. 55
• E. 22

Answer 1

The Correct Option is A

Step 1: Analyze the pattern of the given series.
The given series is: 1, 3, 4, 8, 15, 27, ?
To find the pattern, we first look at the difference between consecutive terms:
3 - 1 = 2
4 - 3 = 1
8 - 4 = 4
15 - 8 = 7
27 - 15 = 12

Step 2: Identify the pattern in the differences.
The differences between consecutive terms are: 2, 1, 4, 7, 12.
The pattern of differences increases by 3 each time: 1 + 3 = 4 4 + 3 = 7 7 + 3 = 10 10 + 3 = 13.
So, the next difference should be 13.

Step 3: Find the missing term.
To find the missing term, we add the next difference (13) to the last term in the series (27):
27 + 13 = 37.

Step 4: Conclusion.
The missing term in the series is 37.

Final Answer:
The missing term in the series is 37.