All categories

3 years ago

Select the sequence that matches the recursive formula.

Mathematics

2 answers:

Darina [25.2K]3 years ago

6 0

Answer:

..-9, -27, -81....

Step-by-step explanation:

Each term after the first is found by multiplying the previous term by 3.

So its ..-9, -27, -81......

4vir4ik [10]3 years ago

5 0

Answer:

next three terms of the sequence is

-9, -27, -81...............

Step-by-step explanation:

Given that a1=-3

$a_n=3a_{n-1}$

first term is -3, lets find out next term

To find next term we take n=2

n=2, $a_2=3a_{1}=3(-3)=-9$

n=3, $a_3=3a_{2}=3(-9)=-27$

n=4, $a_4=3a_{3}=3(-27)=-81$

So next three terms of the sequence is

-9, -27, -81...............

You might be interested in

Consider two functions f and g on [1, 8] such that integral^8_1 f(x) dx = 9, integral^8_1 g(x) dx = 5, integral^8_5 f(x) dx = 4,

Gelneren [198K]

I'll abbreviate the definite integral with the notation,

$I(f(x),a,b)=\int_a^bf(x)\,\mathrm dx$

We're given

$I(f,1,8)=9$
$I(g,1,8)=5$
$I(f,5,8)=4$
$I(g,1,5)=3$

Recall that the definite integral is additive on the interval $[a,b]$ , meaning for some $c\in[a,b]$ we have

$I(f,a,b)=I(f,a,c)+I(f,c,b)$

The definite integral is also linear in the sense that

$I(kf+\ell g,a,b)=kIf(a,b)+\ell I(g,a,b)$

for some constant scalars $k,\ell$ .

Also, if $a\ge b$ , then

$I(f,a,b)=-I(f,b,a)$

a. $I(2f,1,5)=2I(f,1,5)=2(I(f,1,8)-I(f,5,8))=2(9-4)=\boxed{10}$

b. $I(f-g,1,8)=I(f,1,8)-I(g,1,8)=9-5=\boxed{4}$

c. $I(f-g,1,5)=I(f,1,5)-I(g,1,5)=\dfrac{I(2f,1,5)}2-I(g,1,5)=10-3=\boxed{7}$

d. $I(g-f,5,8)=I(g,5,8)-I(f,5,8)=(I(g,1,8)-I(g,1,5))-I(f,5,8)=(5-3)-4=\boxed{-2}$

e. $I(7g,5,8)=7I(g,5,8)=7(5-3)=\boxed{14}$

f. $I(3f,5,1)=3I(f,5,1)=-3I(f,1,5)=-\dfrac32I(2f,1,5)=-\dfrac32(10)=\boxed{-15}$

4 0

2 years ago

Help I will give brainiest what is the solution

sdas [7]

Answer:

(0,-1), y, 3, 3 up, 1 right

(0,1), y, 1 up, 1 right

Step-by-step explanation:

just fill in the blanks in the order of these answers

7 0

2 years ago

A national interest rate on houses for 25 years is 4.3%. A banker in a large northwestern city believes that the local interest

stepladder [879]

The national interest rate on houses for 25 years is 4.3%. The banker wishes to test that the local interest rates are lower than the national rate. So he should use the initial data of 4.3% interest as his base data. Then he should investigate the rates of houses in the local vicinities and compare it to his base data.

7 0

3 years ago

Which Graph Represents A function ?<br><br> NEED ANSWER ASAP !!!!

ANEK [815]

Answer:

The very last one is a function

Step-by-step explanation:

The last one is a function because there are no y values that repeat. For example, If the points on one graph are like this; (1, 3) (2, 3); then it cannot be a function, the y values cannot repeat if it is a function.

To make things easier, just try to imagine vertical drawing lines through each point in every graph, if this imaginary vertical line passes more than one point in any graph, then that graph is not a function.

I hope this helps!! :D

7 0

1 year ago

Read 2 more answers

Priya has five pencils each X inches in length when she lines of pencils and and they measure 34.5 in. Select all the equations

Sphinxa [80]

Answer:

You would have to divid 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

3 0

3 years ago