wellingtonprolawn wellingtonprolawn

Today at 3:47 AM
Mathematics

Answered

Write an explicate formula for this sequence -2, 6, -18, 54

Answer :

pierreclark65 pierreclark65

Today at 3:53 AM

Answer:

7 =121 and t underscore 15 =193

Step-by-step explanation:

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jimrgrant1 jimrgrant1

Today at 3:52 AM

Answer:

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = - 3 , then

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

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