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astarmathsandphysics:
Here is an example
3 9 17 27 39 is a quadratic sequence
1st diff 6 8 10 12
2nd diff 2 2 2 2
therefore 2/2=1n^2 sequence
Do an n^2 line 1 4 9 16 25 and take away from original sequence
2 5 8 12 This is a linear sequence with diff 3 therefore it is a 3n sequence. To get the first number in this linear sequence with have to take 1 from this 3 so ans=1n^2+3n-1

4 10 16 22 28 is a linear sequence with 1st diff 6 therefore it is a 6n sequence. take 2 from 6 to get 4 so rule is 6n-4

sweetsh:
You can solve it by logic :)

SGVaibhav:
not that easy to solve by logic

emi:
in the example above ,, why did u divide by 6 at first and then by 2 at last ?

astarmathsandphysics:
Divide a 4th differebce line by 4x3x2x1=24

Divide a 3rd difference line by3x2x1=6
divide a 2nd difference line by2x1=2
Divide a 1st difference line by1

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