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harina [27]
4 years ago
14

B) Write an expression for fin terms of d. c) Work out e-f Simplify your answer.

Mathematics
1 answer:
olga2289 [7]4 years ago
7 0

Answer:

3d+ e+f

Step-by-step explanation:

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A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?
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<h3>A sequence is defined by the recursive function then f(1) is 81</h3>

<em><u>Solution:</u></em>

Given that,

A sequence is defined by the recursive function:

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Given that,

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f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) =  \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27

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f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81

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