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ASHA 777 [7]
3 years ago
9

Can someone please help me

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

24

Step-by-step explanation:

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For each recursively-defined sequence below, write the first few term. Then use the terms to write an explicit equation.
Roman55 [17]

Answer:

Step-by-step explanation:

a_1 = 15

a_2 = a_1  - 3

a_2 = 15 - 3

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a_3 = a_2  - 3

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a_4 = a_3 - 3

a_4 = 9 - 3

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a_5 = 3

a_6 = 0                  I'm leaving these last two to expand

a_n = a1 - (n - 1)*d

a_n = 15 - (n - 1)*3

a_n = 15 - 3n + 3

a_n = 18 - 3n

Example

a_6 = 18 - 3*6

a_6 = 0

Problem B

t(1) = 108

t(1 + 1) = 1/3 * 108

t(2) = 36

t(3) = 1/3 * t2

t(3) = 1/3 * 36

t(3) = 12

t(4) =1/3 (t(3))

t(4) = 1/3 * 12

t(4) = 4

t(5) = t4 / 3

t(5) = 4 / 3

t(5) = 1.3333333

So the explicit definition is

t(n) = 108 (1/3)^(n - 1)            You could simplify this a little bit by realizing that 108 is made of three 3s.

t(n) = 4 * 3^3 * (1/3)^(n - 1)

t(n) = 4 * (1/3) ^ (n - 4)

Example

t(5) = 108 (1/3)^4

t(5) = 108(1/81)

t(5) = 1.3333333

And using the simplified formula, you get.

t(5) = 4 * (1/3)^1

t(5) = 1.333333 which is the same thing as the original result.

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3(n - 1) &lt; 21<br> Does anyone know the answer and solution?
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Answer:

n < 8

Step-by-step explanation:

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