A series S1 has a value of 2, 3, 1. Find the output of the following two statements considering the above create series: (print S1**2) (print S1*2)

Understand the Problem

The question is asking for the output of two operations on the series S1, which consists of the values 2, 3, and 1. The first operation is squaring each element of the series, and the second operation is multiplying each element of the series by 2.

Answer

Squared series: $[4, 9, 1]$, Multiplied series: $[4, 6, 2]$

Steps to Solve

Square Each Element of the Series S1

We start with the series ( S1 = [2, 3, 1] ). To square each element, we apply the operation ( x^2 ) for each ( x ) in ( S1 ):

For ( 2: \quad 2^2 = 4 )
For ( 3: \quad 3^2 = 9 )
For ( 1: \quad 1^2 = 1 )

Thus, the squared series is ( S1_squared = [4, 9, 1] ).

Multiply Each Element of the Series S1 by 2

Next, we multiply each element of the series ( S1 ) by ( 2 ):

For ( 2: \quad 2 \times 2 = 4 )
For ( 3: \quad 3 \times 2 = 6 )
For ( 1: \quad 1 \times 2 = 2 )

So, the multiplied series is ( S1_multiplied = [4, 6, 2] ).

The output of the operations on the series is:

Squared series: ( [4, 9, 1] )
Multiplied series: ( [4, 6, 2] )

More Information

When you square a number, you're finding out how much area a square with that length would cover. By multiplying by 2, you're essentially doubling your original values. Both operations are common in algebra and essential for understanding functions and transformations.

Tips

Forgetting to square each element separately and just squaring the total sum of the series.
Mixing up the order of operations, such as trying to square after multiplying or vice versa.

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