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Ebook-number series-puzzle 592

 The best guide to solve number series.

150 questions with answers and detailed explanations

By Panos kalliantasis

 

How  to solve number series


Students find number sequencing questions difficult, but in reality they are not, it is a matter of proper preparation.

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 Which number will replace the question mark in the number series


12, 14, 20, 32, 52, ?

There are two ways to solve this number series

Solution 1

The terms in the given number sequence are incremented.

We observe that it is not arithmetic progress, nor geometric progress

We have to find the logical relation between the terms and guess the rule.



The pattern could be:


12 = 12 + 1² +1 =12+1+1 = 14


14 = 14 + 2² +2 = 14+4+2 = 20


20 = 20 +3² + 3 = 20+9+3=32


32 = 32 +4² +4 = 32+16+4=52


In each term we add the square of the number term and the number of the term to get to the next term.


52 is the fifth term and to find the next term we add the square of 5 and then 5


52 = 52 + 5² + 5= 52+25+5=82


Therefore answer is 82.


Solution 2

The differences of the terms form the series

12 ....14....20......32.....52.....?

      2.......6.......12......20.....

         4........6..........8........


We start from the series 3

4...6...8....next number is 10

Then series 2

2.....6......12.....20.....(20+10=30)

 Then in the given series 1

12....14.....20....32.....52......(52+30=82)

 

 


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<h2>Complete the number series158</h2>

 Number series for competitive exams Can you complete the following number series?