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Here is a pattern of dots.

A. How many dots will there be in step 10?
B. How many dots will there be in step n?


Here Is A Pattern Of Dots A How Many Dots Will There Be In Step 10 B How Many Dots Will There Be In Step N class=

Sagot :

The dots in the patterns are illustrations of a sequence or progression

  • The number of dots in step 10 is 84
  • The number of dots in step n is (n -1)^2+ 3

The number of dots in step 10

From the pattern, we have:

  • Step 0 = 3 dots
  • Step 1 = 4 dots
  • Step 2 = 7 dots
  • Step 3 = 12 dots

So, we have the following pattern

[tex]T_n = (n -1)^2+ 3[/tex]

When n = 10, we have:

[tex]T_{10} = (10 -1)^2+ 3[/tex]

T10 = 84

This means that, there will be 84 dots in step 10 and there will be (n -1)^2+ 3 dots in step n

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