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pantera1 [17]
3 years ago
15

Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each

successive term. Which formula could represent their sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14… — -0.1 — -0.01 — 0.01 — 0.1
Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

f(n+1) = f(n) + 5

Step-by-step explanation:

Required

Recursive function to represent the scenario

Let the current term be f(n);

This means that the next term will be: f(n + 1);

From the question, 5 is added to f(n) to get f(n + 1).

Hence, the function is:

f(n+1) = f(n) + 5

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Researchers have found that after 25 years of age the average size of the pupil in a
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Answer:

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Step-by-step explanation:

Equation,

d = 2.115Logₑa + 13.669

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a = number of years

Note : Logₑa = In a (check logarithmic rule)

d = 2.115Ina + 13.669

1. At 25 years,

d = -2.115In25 + 13.669

d = -2.115 × 3.2188 + 13.669

d = -6.807762 + 13.669

d = 6.8612mm

At 25 years, the pupil shrinks by 6.86mm

2. At 50 years,

d = -2.1158In50 + 13.669

d = -2.1158 * 3.912 + 13.669

d = -8.2770 + 13.699

d = 5.422mm

At 50 years, the pupil shirks by 5.422mm

To save this question, I had to plug in the values into the equation.

Solving for Logₑa might be difficult, so instead I used Inx which is the same thing. Afterwards, i substituted in the values and solve the equation for each years.

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