<h2>
Answer:</h2>
<em><u>Recursive equation for the pattern followed is given by,</u></em>

<h2>
Step-by-step explanation:</h2>
In the question,
The number of interaction for 1 child = 0
Number of interactions for 2 children = 1
Number of interactions for 3 children = 5
Number of interaction for 4 children = 14
So,
We need to find out the pattern for the recursive equation for the given conditions.
So,
We see that,

Therefore, on checking, we observe that,

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.
<u>At, </u>
<u>n = 1</u>

which is true.
<u>At, </u>
<u>n = 2</u>

Which is also true.
<u>At, </u>
<u>n = 3</u>

Which is true.
<u>At, </u>
<u>n = 4</u>

This is also true at the given value of 'n'.
<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

Answer:a) C = 2πr
b) 37.68feet
c) r = C/2π
d) 5.89feet
Step-by-step explanation:
Answer:
+8, -4, +2
Step-by-step explanation:
The pattern rule is every other number is negative and it alternates. It would be plus, minus, plus, minus, and keep that going. The second part to the pattern rule is the next number is half of the previous. So 32 was half of 64, 16 was half of 32 so now 8 is half of 16, 4 is half of 8, and 2 is half of 4. Keep the + - + - + - pattern too.