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3 years ago

What is the recursive rule for this geometric sequence? 1/2, -2, 8, -32

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

A recursive rule allows us to find the term in a sequence from the previous term.

From the given geometric sequence find r the common ratio

r = $\frac{-2}{\frac{1}{2} }$ = $\frac{8}{-2}$ = - 4

Hence recursive rule is

$a_{n+1}$ = - 4 $a_{n}$ ( a₁ = $\frac{1}{2}$ )

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mark ran 11.3 miles on Monday 12.64 miles on Wednesday and 11.9 miles on Friday how many miles did mark run together?

Blizzard [7]

The answer is 35.84.
You just add all of them up

7 0

3 years ago

Acellus help slope intercept

Serjik [45]

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

$m=\frac{y_2-y_1}{x_2-x_1}$ ---> Rise Over Run

<em>But how are we gonna calculate if we don't have any two given ordered pairs?</em>

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

$m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2$

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - $y=mx+b$

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

Then we substitute b = 7 as y-intercept.

Thus the answer is $y=2x+7$

3 0

3 years ago

The coordinates of A, B,and C in the diagram are A(p,4), B(6,1), C(9,q). What equation correctly relates p and q?

murzikaleks [220]

I don't see any diagram. So, I'll just wing it.

Value of q:
p, 6, 9 ⇒ there is a difference of 3. The sequence increases by 3. So, it can be assumed that the p is equal to 3. A(p,4) ⇒ A(3,4)

Value of q:
4, 1, q ⇒ there is a difference of 3. The sequence decreases by 3. So, it can be assumed that q is equal to -2. C(9,-2)

p q
A 3 4 ⇒ 3 + 4 = 7
B 6 1 ⇒ 6 + 1 = 7
C 9 -2 ⇒ 9 + (-2) = 7

Notice that the sequence has an equation of p + q = 7.

7 0

3 years ago

Read 2 more answers

A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat,

Paraphin [41]

Answer:

3/7.

Step-by-step explanation:

The total number of ways to pick 4 out of 8 = 8C4

= 8!/ 4!4!

= 70 ways.

The number of ways when 2 are women = 5C2 * 3