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babymother [125]
3 years ago
7

A recursive rule for an arithmetic sequence is a₁=4;a_n=a_(n−1)−3 .

Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

The explicit formula of the arithmetic sequence:

a_n=a_1+(n-1)d

d - common difference

We have the recursive formula of an arithmetic sequence:

\left\{\begin{array}{ccc}a_1=4\\a_n=a_{n-1}-3\end{array}\right

Therefore we have:

a_1=4,\ d=-3

Substitute:

a_n=4+(n-1)(-3)=4-3n+3=7-3n

<h3>Answer: aₙ = 7 - 3n</h3>
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serious [3.7K]

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius <em>r</em>, with a center located at (0,0):

<em>x</em>²<em>+ y</em>² <em>= r</em>².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

5 0
3 years ago
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Part 3. Identify the X intercepts for<br><br>y = (x+4)^2-9​
RSB [31]

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9​

To find x-intercept, set y = 0

=>  (x + 4)^2 - 9​ = 0

=>  ( x + 1)( x + 7) = 0

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7 0
3 years ago
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What is the solution of the system? Use the substitution method.
cricket20 [7]
Start by isolating one of the variables
x=-4y+2
Sub x into the other formula and solve for the y value of the solution.
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Sub the y value into the x formula you created.
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astraxan [27]
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maxonik [38]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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