Number Series Tricks, Questions and Videos

Arithmetic-Geometric (A-G) Series

The series is formed by combination of arithmetic progressions. Each succeeding term is obtained by first adding ( or subtracting) the common difference of its AP to the previous term and then multiplying (or dividing) the sum by common ratio of its GP. An important property of such an A-G series is that the difference of successive terms is in GP.

For example: 1, 8, 22, 50, 106, 218
Series is obtained by adding 3 to previous term and then multiplying the sum by 2.
i.e a2=(a1+3)×2

Geometric Arithmetic (G-A) Series

Each succeeding term in G-A series is funded by first multiplying(or dividing)
the previous term by the common ratio of its GP and then adding (or subtracting) to it the common difference of its AP. This important property of G-A series, like A-G series, is that the difference of its successive terms are in geometric progression.

For example: 1, 2, 6, 22, 86, 342,..
The terms in the above series are obtained by fist multiplying the previous term by 4 and then subtracting 2 from the resultant product.

Twin Series

As the name suggests, it consists of two series combined into a single series. The alternating terms of this series form an independent series.

For example: 2, 3, 7, 9, 12, 27, 17, 81, 22, 243…..
Odd terms of the series 2, 7, 12, 22,…… is an arithmetic series with common difference 5. Even terms of the series 3, 9, 27, 81, 243….. is a geometric series with common ratio 3.

 

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

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