Question

Write next two numbers in this series? 5, 3, 6, 4, 7, 5, 8, 6,?

Answer 1

Answer:

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Step-by-step explanation:

5, 3, 6, 4, 7, 5, 8, 6, 9, 7

Answer 2

The general pattern I see is as follows:

The difference between the 4th and the 3rd number is +2 (let’s call it Δ4,3 ).

The difference between the 3rd and the 2nd number is −1 (let’s call it Δ3,2 ).

The difference between the 2nd and the 1st number is +3 (you get the naming convention by now, I suppose).

Note that Δ4,3=Δ3,2+Δ2,1 . It is also true that Δ5,4=Δ4,3+Δ3,2 . You can confirm by yourself that this is a general pattern.

Now, we are charged with finding the 8th number. To do so, we find the difference between the 8th and 7th numbers:

Δ8,7=Δ7,6+Δ6,5=3+4=7

The 7th number is 15, so the 8th number is 15+7=22 .