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Rasek [7]
3 years ago
14

A recursive rule for a geometric sequence is a1=3;an=12an−1 . What is the explicit rule for this sequence?

Mathematics
1 answer:
ehidna [41]3 years ago
6 0
From the recursive rule, you can tell the initial value is 3 and the common ratio is 12. The explicit rule is always
.. (n-th term) = (initial value)*(common ratio)^(n -1)

Subsituting the values you know, you have
.. an = 3*12^(n-1)
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3 years ago
Which equation has the same graph as 4x + 8y = 12?
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Answer:

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8 0
3 years ago
1. determine if the functions are inverse functions
kirill115 [55]

Answer:

<u>Question 1</u>

The function f(x) = x + 6 is one-to-one, so it does have an inverse.

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Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function f(x) = -3x -9 is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

\implies y = -3x -9

Rearrange the equation to make x the subject:

\implies y+9= -3x

\implies x=-\dfrac13(y+9)

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Replace x with f^{-1}(x) and y with x:

\implies f^{-1}(x)=-\dfrac13x-3

Therefore, g(x) is the inverse of f(x).

5 0
2 years ago
Find the perimeter= 55
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5 0
3 years ago
Read 2 more answers
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