A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
5 , 11 , 24 , 51 , 106 ,____?
217
This question tests your pattern recognition skills. Let's analyze the given series: 5, 11, 24, 51, 106, __?
Observe the differences between consecutive terms:
- 11 - 5 = 6
- 24 - 11 = 13
- 51 - 24 = 27
- 106 - 51 = 55
Now, let's analyze the differences between these differences:
- 13 - 6 = 7
- 27 - 13 = 14
- 55 - 27 = 28
Notice a pattern? The differences between differences are doubling: 7, 14, 28. The next difference between differences would be 28 * 2 = 56.
Therefore, the next difference between consecutive terms would be 55 + 56 = 111.
Finally, the next term in the original series is 106 + 111 = 217.
Thus, the complete series is: 5, 11, 24, 51, 106, 217.
Similar Questions
Identify the figure given in the options which when put in place of ? will logically complete the series.
Select the option figure in which the given figure (X) is embedded (rotation is NOT allowed).
Important Questions from Series
In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65
In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65
Identify the figure that best fits in place of the question mark.
- A man walks 12 km north, then turns right and walks 8 km, then again turns right and walks 12 km.
How far is he from the starting point? What will be the next figure?
