Number Series Tricks, Questions and Videos

Second Degree Arithmetic Series

A series in which the differences between the successive terms themselves are in AP and forms an arithmetic series is called the second degree arithmetic series.

For example, 2, 3, 6, 11, 18……

A series in which the differences between the successive terms themselves are in AP and forms an arithmetic series is called the second degree arithmetic series.

For example, 2, 3, 6, 11, 18……

The Difference of successive terms of the above series 1, 3, 5, 7..... which forms an arithmetic series with common difference 2.
The given series can be represented by a quadratic mathematics function: f(x)=x2+2
Where x =0, 1, 2, 3, 4…….

Third Degree Arithmetic Series

A series in which the difference of the successive terms forms a second degree arithmetic series is termed third degree arithmetic series. Mathematically, such a series can be represented by a general cubic function and hence the name third degree.

For example:
(a)
20, 30, 42, 59, 84, 120, 170,…
The difference of successive terms of the above series is 2, 5, 11, 14… and this forms an arithmetic series with common difference 3.

(b) 1, 15, 53, 127,249, 431, 685,……
The difference of successive terms of the above series is 14, 38, 74, 122, 182, 254. The difference of successive terms of the above series is 24, 36, 48, 60, 72 and this forms an arithmetic series with common difference 12.

Mathematically, the given series can be represented by a cubic function
f(x)=2x3−2
Where x = 1, 2, 3, 4…..

 

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5 Responses to “Number Series Tricks, Questions and Videos”

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