Answer:
437/471
Step-by-step explanation:
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From the recursive rule

it follows that


and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

so that the explicit rule for the n-th term in the sequence is

The first step is to find the relationship between the square base and the surface area.
Surface area (SA) = area of the square (SS) + area of triangles.4(AT)
Thus we can conclude area of triangles 4(AT) = SA - SS = 864 - (18*18)
4(AT) = 864 - 324 = 540
Each triangle = 540/4 = 135 square in.
An area of one triangle (AT)= (base* slant height)/2
The base = 18 in.
<span>slant height = 2(AT)/base = 2(135)/18 = 15</span>