The following patterns are made of small squares. write an expression for the number of small squares in pattern n

An expression for the number of small squares in pattern n is .

In the pattern 1:

3 + (3 x 3) + 3 = 15

Number of small squares = 15

In the pattern 2:

3 + (4 x 4) + 3 = 22

Number of small squares = 22

In the pattern 3:

3 + (5 x 5) + 3 =31

Number of small squares = 31

In the pattern n:

Simplify:

Therefore, an expression for the number of small squares in pattern n is .

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Step-by-step explanation:

The picture of the question in the attached figure

we know that

In the pattern 1 there are

In the pattern 2 there are

In the pattern 3 there are

we can write the expression in the form

where

substitute

-18

step-by-step explanation:

because mean value defines that total sum value over total number of set