2,11,27,52,88 ....find series
Answers
Answer:
Directions for questions 1 to 10: Find the missing term in each of the following questions of number series.
Example 1: Identify the next term in the following series 2, 3, 5, 9, 17, 33, 65, ?
Sol: This is one of the simpler kinds of series, as it can be seen that the difference between the numbers goes like this.
You can find the right answer in number series by taking the difference between consecutive pairs of numbers, which form a logical series. In this example, the differences between succeeding pairs of numbers are 1,2, 4, 8, 16, and 32. So, the next difference must be 64. 64, if added to the last number 65, gives 129, which is the correct answer.
Example 2: Find the next number in the following series 1, 3, 12, 52, 265, ?.
Sol:
The above series involves two operations: multiplication and addition of a number by the same number. The series runs like this: 1 x 2 + 2 = 3, 3 x 3 + 3 = 12, 12 x 4 + 4 = 52, 52 x 5 + 5 = 265. The next number, following this logic should be 265 x 6 + 6 = 1596. In this case, the idea of differences will not help us.
Example 3: Identify the next number in the following series 2, 8, 26, 62, 122, 212,?
Sol: First of all you should try to take the differences. If the first difference does not give anything significant, you can go for the second difference i.e. the difference of the differences.
The first differences obviously do not contain any logic. But taking the differences among differences in the first layer as shown above, we see that the logic becomes very clear to us. Following the very same logic, the last addition to last number i.e. 30, should be 6, which makes it 36. Moving backwards, we get 36 + 90 + 212 = 338, which is the correct answer to this particular question.
Example 4: Find the next number 13, 17, 19, 23, 29,?
Sol: This is a series of prime numbers, it can be clearly seen that the numbers given are successive prime numbers. Next prime number would be 31 and that would be the answer.
Answer:
The series runs like this: 1 x 2 + 2 = 3, 3 x 3 + 3 = 12, 12 x 4 + 4 = 52, 52 x 5 + 5 = 265. The next number, following this logic should be 265 x 6 + 6 = 1596
Step-by-step explanation:
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