Number Relations Look at the pattern 4 + 6 + 8 = 18 8 + 10 +12 = 30 12 + 14 +16 = 42 a) Write next 3 lines of the pattern. b) Write the relation between the sum and middle nomber in each line. c) Write the general principle of the above pattern in ordinar language. d) Write it as an algebraic expression using letters.

c) The general principle of the above pattern in ordinary language is to start a new line using the final number of the last pattern. Add 2 to it to obtain the middle number and add another 2 to obtain the final number, then sum the three numbers.

d) The algebraic expression using letters will look like this:

a + 2 = m

m + 2 = f

sum = a + m + f

Where:

a = the beginning number (final number of the last pattern)

m = middle number

f = final number

What is a number pattern?

A number pattern is a series or sequence of numbers that repeat.

Number patterns as sequences repeat based on the stated rule.

The rule of the number pattern shows the way to calculate or solve the problem.

For instance, the beginning number is the number that ends the last line pattern. The middle and final numbers are obtained by adding 2 to the first and next numbers. Thereafter the three numbers are summed.

Data and Calculations:

4 + 6 + 8 = 18

8 + 10 +12 = 30

12 + 14 +16 = 42

The following 3 lines of the pattern are:

16 + 18 + 20 = 54

20 + 22 + 24 = 66

24 + 26 + 28 = 78

Relation between the sum and middle number:

Middle numbers Sum

6 18 (6 x 3)

10 30 (10 x 3)

14 42 (14 x 3)

18 54 (18 x 3)

22 66 (22 x 3)

26 78 (26 x 3)

Learn more about number patterns at https://brainly.com/question/22174141

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