1 answer:
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Answer:
1. S(1) = 1; S(n) = S(n-1) +n^2
2. see attached
3. neither
Step-by-step explanation:
1. The first step shows 1 square, so the first part of the recursive definition is ...
S(1) = 1
Each successive step has n^2 squares added to the number in the previous step. So, that part of the recursive definition is ...
S(n) = S(n-1) +n^2
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2. See the attachment for a graph.
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3. The recursive relation for an arithmetic function is of the form ...
S(n) = S(n-1) +k . . . . . for k = some constant
The recursive relation for a geometric function is of the form ...
S(n) = k·S(n-1) . . . . . . for k = some constant
The above recursive relation is not in either of these forms, so it is neither geometric nor arithmetic.
Answer:
90°
Step-by-step explanation:
Circle C has radius √36 = 6
Circle D has radius √18 = 3√2
As the D radius intersecting either point of tangency, does so at a right angle.
The half angle θ between the tangents is
sinθ = 3√2 / 6 = ½√2
θ = 45°
so the angle between the tangents is 2(45) = 90°
