IDNLearn.com: Your go-to resource for finding precise and accurate answers. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

Use the given rule and starting number to complete each numerical pattern.

a. Add [tex]\frac{1}{2}[/tex], starting with 0.

0, [tex]\frac{1}{2}[/tex], [tex]1[/tex], [tex]\frac{3}{2}[/tex], [tex]2[/tex], [tex]\frac{5}{2}[/tex]


Sagot :

Sure! Let's complete the numerical pattern by following the rule of adding [tex]\(\frac{1}{2}\)[/tex] starting from 0.

We can do this step by step:

1. Start with 0.
2. Add [tex]\(\frac{1}{2}\)[/tex] to the previous number (0). So, [tex]\(0 + \frac{1}{2} = 0.5\)[/tex].
3. Add [tex]\(\frac{1}{2}\)[/tex] to the previous number (0.5). So, [tex]\(0.5 + \frac{1}{2} = 1.0\)[/tex].
4. Add [tex]\(\frac{1}{2}\)[/tex] to the previous number (1.0). So, [tex]\(1.0 + \frac{1}{2} = 1.5\)[/tex].
5. Add [tex]\(\frac{1}{2}\)[/tex] to the previous number (1.5). So, [tex]\(1.5 + \frac{1}{2} = 2.0\)[/tex].
6. Add [tex]\(\frac{1}{2}\)[/tex] to the previous number (2.0). So, [tex]\(2.0 + \frac{1}{2} = 2.5\)[/tex].

Therefore, the completed numerical pattern is:

[tex]\[ 0, \quad 0.5, \quad 1.0, \quad 1.5, \quad 2.0, \quad 2.5 \][/tex]

So, the sequence is: [tex]\( 0, \ 0.5, \ 1.0, \ 1.5, \ 2.0, \ 2.5 \)[/tex].