Find next number in the series 2, 5, 10, 17, 26, 37, 50_?
Originally Answered: Which number should come next in this series: 1 - 1 - 2 - 3 - 5 - 8 - 13? The next number of the series is the sum of the two previous numbers. . Look at this series: 2, 1, (1/2), (1/4), What number should come next? This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result. 4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on.
Number series is important for various competitive examinations. In this category of questions, a series of various numbers is given with a blank. We are supposed to how does an autopilot work out a pattern between every number and its predecessor and find out the answer using the same logic.
For the purpose of better understanding of the concept, we classify them into the following categories:. The best way of approaching number series questions is to observe the difference between various terms. If the difference is decreasing or increasing by a constant numberthen it is a series of type 2 or type 3.
But if there is no such increase or decrease in the difference, then try dividing the 2nd term with the first, third with the second and so on. If you obtain the same number each time, then it is a product series. Alsoif none of these seem to work, then you can try writing each how to make a toy army base as a product of two factors and try to see if there is any pattern. If the difference is increasing and decreasing in some fixed manner, then it is a type of combination series.
We can observe that we are adding 4 to the previous number to obtain the next number. In this type of series, the difference between two consecutive terms keep on increasing as we move forward in a series. Let us try to use this theory in a question. In this type of series, the difference between two consecutive terms keep on decreasing as we move forward in a series.
Let us try to use this with some modification in the previous question that we did. We can have a lot of variations here. Let us look at some of the possibilities. We can observe that the above series is square of odd numbers starting from one. We how to become chartered accountant in canada here that the series is formed by writing numbers starting from 1 along with its square as the next number i.
So we obtain our answer as 16 which is 4 2. This kind of series has more than 1 type of arithmetic operations which have been performed or it can also have 2 different series which have been combined to form a single series. This kind of series is the the most asked and the most important among all the types of series that we have discussed so far. The first term 1 is multiplied by 3 to what number should come next in the series the second term, 3 has been added to the second term to get the third term.
The next term is 2 which is 1 more than the 1st term. It is multiplied with 3 to give next term and the process is continued. With this process, we obtain our answer as The 2nd4th and 7th term make a series of 101112…. So, our answer will be 9 which is the 7th term of the original series. Some series do not come under any of the above mentioned categories but are very important and also asked in many examinations.
The above series is the squares of prime numbers. So next term will be square of 13 which is Solution : Each term in the above series is combination of squares of 2 numbers i.
So, our answer will be Look at this series: 40, 40, 26, 2612 ,? Solution :Answer is Each number is repeated or firstly 0 is added to each number and then 14 is subtracted from it.
Solution : We see that no decreasing or increasing how to be successful in business school logic is applicable here. So, we find out the ratios of every term with its predecessor.
We get the following values: 0. This makes it clear that 9 should be multiplied by 2. Solution : Let us start by finding out the difference between every pair of consecutive terms:. We observe that the difference is the series of prime numbers. According to this logic17 should be added to 39 to obtain the answer. Hence, the answer is Consider the series: 42, 40, 36, 34, 30, 28, … What number should come next? Solution: 24 is the answer.
Solution : We can see that the series is increasing rapidly. Let us find out the ratios of every 2 consecutive terms. Solution : 26 24 is the answer.
It is an alternating subtraction series where 2 is subtracted twice and then 3 is subtracted one and this pattern is continued. Solution : At a first glance it is very difficult to how does the care standards act promote anti discriminatory practice any kind of pattern here. Any kind of pattern among increasing, decreasing, productsquarecube etc does not seem to be working here.
But we can observe that 149 are squares of 123 respectively. And after that should come 16 but instead of that we have 1 ,6. After that instead of 25we have 2, 5.
Sowe can come to the conclusion that when the squares start taking 2 digits, instead of writing them as a 2 digit numberwe simply separate them into 2 different terms. So, our next term will be 3 ,6.
Tip : During the exam, if you feel that you are not able to figure out the pattern in seconds, it is better to leave the question for the time being and move on to the next one. You can revisit the question laterif time permits. All questions from CAT Exam Logical Reasoning Logical Reasoning — Set 1 : A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Two routes are available, one via Mamur M and the other via Nanur N. Logical Reasoning — Set what is the most popular perfume now : A new airlines company is planning to start operations in a country. Logical Reasoning — Set 8 : There are 21 how to build a snowmobile sleigh working in a division, out of whom 10 are special-skilled employees SE and the remaining are regular skilled employees RE.
Logical Reasoning — Set 9 : Healthy Bites is a fast food what is a. pw domain serving three items: burgers, fries and ice cream. Enroll Now Rs. Calculate the sum of the first 30 terms of the series. Your email address will not be published. This site uses Akismet to reduce spam. Learn how your comment data is processed. Let us look at each type of series in greater depth: 1. Series with a constant difference In this kind of series, any 2 consecutive numbers have the same difference between them.
Series with an increasing difference In this type of series, the difference between two consecutive terms keep on increasing as we move forward in a series. So, we will obtain our number by adding 6 to 16 which gives us Series with a decreasing difference In this type of series, the difference between two consecutive terms keep on decreasing as we move forward in a series.
We can clearly observe that the series how to make fresh mustard greens decreasing with the difference : -5, -4, -3So, we will obtain our number by subtracting 1 from 2 which gives us 1.
Consider the following question: 928 ,? The answer for above question will be 65, let us discuss how. Combination of different operations This kind of series has more than 1 type of arithmetic operations which have been performed or it can also have 2 different series which have been combined to form a single series. Consider the series: 6, 107, 11812 ,? We can see that the above series is a what number should come next in the series of 2 simple series: 1st3rd5th terms make an increasing series of 678….
Miscellaneous series Some series do not come under any of the above mentioned categories but are very important and also asked in many examinations. The series of prime numbers or any other related operation done on it comes under this category. Consider the example: 9, 2549,? Try out the following questions : 1. Find out the wrong term in the series.
Solution : Each term is the sum of 2 consecutive prime numbers. We should have 52 in its place. Find out the missing number. Solution : The answer for this is If you Like this post then share it! Raghav Jindal says:. February 3, at pm. Poonam says:. A yedukondalu says:. February 8, at am. Svatantra says:. February 23, at pm. Allaie says:.
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Nov 02, · 1 decade ago. Those are 1, 2, 3, 4, and 5 squared. Try to guess what the next one is. Anonymous. 1 decade ago. You increase the number you add by 2 each time you find another number. so add 3 then 5 then 7 etc so by the time you get to 25 you have to add 25 + 11 = Consider the series: 42, 40, 36, 34, 30, 28, What number should come next? Solution: 24 is the answer. we are performing the operations: – 2, ) 7. 24, 30, 36, 42, 54, 60, Find out the wrong term in the series. Solution: Each term is the sum of 2 consecutive prime numbers. 24 = 11+ 30 = 13+ 36= 17+ 19Estimated Reading Time: 4 mins. Jul 02, · Which number should come next in the series? 1 - 1 - 2 - 3 - 5 - 8 - 13? Answer Save. 14 Answers. Relevance. Lucy_ 1 decade ago. Favourite answer. 0 0. Anonymous. 1 decade ago. the pattern is 0+1 so 1 and 1+ 1 so 2 and 2 + 1 so 3 therefore 8 + .
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