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Analyze the following pattern: 1, 2, 5, 10, 17, ...
Part I: Describe the pattern. (1 point)
Part II: What is the 8th term of the pattern? Show your work. (1 point)

Respuesta :

Siobha
1 2 5 10 17
+1 +3 +5 +7
+2 +2 +2

2÷2=1 so it begins with n^2

n^2= 1 4 9 16 25
-0 -2 -4 -6 -8
-2 -2 -2 -2

so we have -2n
The pattern is n^2-2n
The 8th term will be 8^2-2x8=64-16=48

The pattern is [tex]n^2-2n[/tex]

And, the 8th term of the pattern is 48.

Given that,

  • The pattern is 1,2,5,10,17.....

Based on the above information, the calculation is as follows:

1 2 5 10 17

Here second number is calculated by adding 1, the third number is calculated by adding 3, the fourth number is calculated by adding 5, and the last number is calculated by adding 7

So,  

+1 +3 +5 +7

+2 +2 +2

Now  

[tex]2\div 2=1[/tex]

Therefore it starts with [tex]n^2[/tex]

[tex]n^2[/tex] = = 1 4 9 16 25  

-0 -2 -4 -6 -8

-2 -2 -2 -2

Therefore we have -2n

Now  

The 8th term should be

[tex]= 8^2- 2\times 8[/tex]

= 64-16

= 48

Learn more: brainly.com/question/17429689

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