Practice identifying number in a series

Notes

Arithmetic Progression
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15... is an arithmetic progression with a common difference of 2.

Geometric Progression
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.

Examples of a geometric sequence are powers rk of a fixed non-zero number r, such as 2k and 3k. The general form of a geometric sequence is:

a, ar, a.r^2, a.r^3, a.r^4,...
where r ≠ 0 is the common ratio and a ≠ 0 is a scale factor, equal to the sequence's start value.

The distinction between a progression and a series is that a progression is a sequence, whereas a series is a sum. 

    

Select the series type:

  

Identify the series.

Number multiplied is: . Number added is:

Arithmetic progression added is:
A1 is:
Difference is:

The number for creating multiples is:

The Geometric Progression that's subtracted is:
A1 is:
Multiplier is:

The Geometric Progression that's added is:
A1 is:
Multiplier is:

Tags: Mathematical Foundations for Data Science,