NUMBER SERIES

NUMBER SERIES

1. Where the difference between two consecutive terms involve various arithmetic operations.

I. 2,5,8,11,………….

The common difference is +3.

II.33,25,17,9,……….

The common difference is -8.

III.4,4,8,24,………………..

Here, the series is x1,x2,x3,……..

IV.52,26,13,………………

The series is based on the rule that every number is divided by 2.

2.Where the difference between the consecutive numbers are in some progression,ie,AP or GP.

I. 7,18,34,55,…………..

Here the difference between the terms is +11,+16,+21,which are in AP.

II. 8,9,12,21,48,129,……

Here the difference between the terms is +1,+3,+9,+27,+81.

Here, these terms are in GP.

3. Where series numbers differ by each other by perfect squares or cubes or they themselves are perfect squares or cubes.

I. 5,6,10,19,35,………..

The common difference between the terms of the series is +(1)² +(2)²+(3)²+(4)²

II. 7,8,16,43,107,…………….

1 8 27 64 125

The common difference between the terms o the series is +(1)³ +(2)³+(3)³+(4)³+(5)³

III.1, 4,9,16,

The terms of the series are (1)², (2) ²,(3)²,(4)²

IV.27, 64,125,216……………

The terms of the series are (3)³, (4)³, (5)³, (6)³