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earnstyle [38]
3 years ago
12

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

a_{n} = - 3a_{n-1}

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

a_{n} = ra_{n-1} = - 3a_{n-1}

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and same thing for the rest of the equation.
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Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team:
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See attachment below
KatRina [158]

Answer: Third Option

x=1.469743

Step-by-step explanation:

We have the following exponential equation

3^{x+1}=15

We must solve the equation for the variable x

To clear the variable x apply the log_3 function on both sides of the equation

log_3(3^{x+1})=log_3(15)

Simplifying we get the following:

x+1=log_3(15)

To simplify the expression log_3 (15) we apply the base change property

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quizlet

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