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anzhelika [568]
2 years ago
9

What is the scale factor? See attachment.

Mathematics
1 answer:
ale4655 [162]2 years ago
6 0
A scale factor<span> is a number which </span>scales<span>, or multiplies, some quantity. In the equation y = Cx, C is the </span>scale factor<span> for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.</span>
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Answer:

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2nd term:48.75

3rd term:49.6875

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Step-by-step explanation:

We are given;

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r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

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The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

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