<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>

the center square is 20 x 20 = 400
there are 4 12 x 20 areas
12*20 = 240*4 = 960
960+400 = 1360 square inches
Answer:
31°
Step-by-step explanation:
The upper and lower triangles are similar, because their bases are parallel.
This implies that their correspondent angles have the same measure: the correspondent angle of x is the 31° angle.
Answer:
324π in.³
Step-by-step explanation:
The figure is a cone and a half sphere.
V = (1/3)πr²h + [(4/3)πr³]/2
V = (1/3)π(36 in.²)(15 in.) + (2/3)π(216 in.³)
V = [180π + 144π] in.³
V = 324π in.³