Engineering
Mathematics
Special Types of Sequence
Summation of Series
Arithmetic Progression and Its Properties
Question

Which pair of numbers comes next?
10,18,12,21,15,25,......

30,19

27,19

19,30

19,27

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Solution
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This is an alternating addition series 

First series = 10,10 + 2 = 12,12 + 3 = 15. next number=  15 + 4 = 19
Second series = 18,18 + 3 = 21,21 + 4 = 25  next number = 25 + 5 = 30
The next pair of numbers are 19,30.