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Aleks [24]
3 years ago
7

Find the first four terms of the sequence using the recursive formula. ​

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

- 3, - 11, - 35, - 107

Step-by-step explanation:

Using the recursive formula with f(1) = - 3 , then

f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11

f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35

f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107

Thus the first four terms are

- 3, - 11, - 35, - 107

You might be interested in
Y = 3/2x + 5/4 −2x + 8y = −25
Andreyy89

Answer:

<h2>x = -347 1/2</h2>

Step-by-step explanation:

When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.

Step 1: Simplify by combining like terms

y = -x/2 + 5/4 + 8y = -25

Step 2: Substitute

y = -25

-25 = -x/2 + 5/4 + 8(-25)

-25 = -x/2 + 5/4 + -200

-25 = -x/2 - 198 3/4

Step 3: Answer

x = -347 1/2

Step 4: Check

y = 3/2x + 5/4 −2x + 8y = −25

-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)

-25 = -25✔️

Step 5: Verified Answer

x = -347 1/2

I'm always happy to help :)

3 0
3 years ago
For which value of b can the expression x2 + bx + 18 be factored?
WINSTONCH [101]

An expression is defined as a set of numbers, variables, and mathematical operations. The value of b for which the expression x² + bx + 18 can be factored is 9.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of b for which the given expression x² + bx + 18 can be factored is 9. This will make the expression factored as (x+3) and (x+6).

Thus, the value of b for which the expression x² + bx + 18 can be factored is 9.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

6 0
2 years ago
Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces ​
Leya [2.2K]

Answer:

$0.90

Step-by-step explanation:

\frac{4}{10}=0.4

3 dozen = 36

\frac{36}{0.4} =\frac{y}{0.1}

0.4 × y = 36 × 0.1

0.4y = 3.6

0.4y ÷ 0.4 = 3.6 ÷ 0.4

y = 9

5 0
3 years ago
Amy got a $1,000 loan from her bank and she had to repay $1,1550 what are the principal and interest amounts in this transaction
xeze [42]
If I'm right the principal amount is $1,000 and the interest(if $1,550) is $550 in the transaction.
3 0
3 years ago
Read 2 more answers
The front of a storage bunker can be modeled by y=-5/216(x-72)(x+72), where x and y are measured in inches. The x axis represent
german
As far as I can make out this one.

the bunker is a 3D object, it has a height, with and length, however we're only concerned with the 2D front face, which has a length and width only.

we know the x-axis is the ground level, so the y-axis must be the scale for the length.

if we can find, using the provided model, the x-intercepts, namely where the x-axis gets touched, we can just get the distance between them and that's the ground level width.

keeping in mind that when the graph touches the x-axis, an x-intercept, "y" is 0.

\bf y=-\cfrac{5}{216}(x-72)(x+72)\implies \stackrel{y}{0}=-\cfrac{5}{216}(x-72)(x+72)&#10;\\\\\\&#10;0=\stackrel{\textit{difference of squares}}{(x-72)(x+72)}\implies 0=x^2-72^2\implies 72^2=x^2&#10;\\\\\\&#10;\pm\sqrt{72^2}=x\implies \pm 72=x

now, the distance from (-72, 0) and (72, 0) is just 72 +72, or 144.
3 0
2 years ago
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