Write a rule for the sequence. Then find the next three terms. 6, 8, 10, 12

Mathematics

1 answer:

BaLLatris [955]2 years ago

8 0

The answer is d because the sequence is add two of the last term
6+2=8+2=10+2=12+2=14+2=16+2=18...

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Consider the function f ( x ) = 1 − 4 x 2 on the interval [ − 1 , 3 ] . Find the average or mean slope of the function on this i

Blababa [14]

Answer:

The average slope is 8.

Step-by-step explanation:

Let <em>f</em> be defined on the closed interval [a, b]. The average slope of <em>f </em>between a and b is the quotient

average slope = $\frac{f(b)-f(a)}{b-a}$

To find the average slope of the function $f(x)=1-4x^2$ on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.

So,

$f(-1)=1-4(-1)^2=-3\\\\f(3)=1-4(3)^2=-35$

The average slope is $\frac{f(3)-f(-1)}{3+1}= \frac{-3+35}{3+1}=\frac{32}{4}=8$

4 0

2 years ago

Sally has £520

PIT_PIT [208]

Answer:

£132

Step-by-step explanation:

15% of 520 is 78

15% of 360 is 54

78 + 54 = 132

6 0

2 years ago

For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.

vredina [299]

First term (a1) is -1

recursive formula goes like this

$a_n$ is the nth term
$a_{n-1}$ is the term before that

we normally have $a_n=f(a_{n-1})$

we see each term is multipying by -3 to get next one

so that would be
$a_n=-3*a_{n-1}$ where a1=-1

the 3rd option is correct except that it is the explicit formula

so answer is 2nd one

3 0

2 years ago

5. Mis the midpoint of CD. C has coordinates (-1,-1) and

lana66690 [7]

Answer/Step-by-step Explanation:

4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$