Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence. a1 = –4, a2 = 8, a3 = –16

Answers

Answer 1
Answer: The sequence:  a 1 = - 4,  a 2 = 8,  a 3 = -16,...
a 2 = a 1 * r
8 = - 4 * r
r = 8 : ( - 4 ) 
r = - 2
a n = a 1 * r^(n-1)
a 5 = - 4 * ( - 2 ) ^4 = - 4 * 16 = - 64
Answer:
The fifth term in the sequence is - 64. 
Answer 2
Answer:

Answer:

B. an = –4 · (–2)n–1; –64

Step-by-step explanation:


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2/5 divided by 9/10A. 2/5
B. 4/5
C. 2/9
D. 4/9

actually 0.00444444444 as a fraction

Answers

it would be D because when you divide fractions, you multiply by the reciprocal of the fractions so 2/5 * 10/9. Then you simplify and get 4/9. Hope this helps!!!!!!!

Anna and Bill share a 16-ounce box of cereal. By the end of the week, Anna has eaten 5
8
of the box, and Bill has eaten
1
4
of the box of cereal. How many ounces are left in the box?

Answers

Answer:

2 ounces

Step-by-step explanation:

1 = 5/8 - 1/4 = 1/8

16 x 1/8 = 2 oz

Answer:

2 ounces left

Step-by-step explanation:

if anna ate 5/8 of the box, and Bill has eaten 1/4 of the box, then in total they’ve eaten 7/8 if the box (1/4 turns into 2/8 + 5/8)

1/8 of the box is left and 1/8 of 16 is 2. so 2 ounces would be left

What expressions are equivalent to 3(4x+3)?

Answers

Answer: B, D, E

Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property

5x+4y+100 in slope intercept form

Answers

y = mx + b
5x + 4y + 100 = 0
4y  = - 5x  - 100
y = - 1,25x - 25


In the diagram shown of circle A, segments UV and UT are congruent. IfmVST  220 , then determine the measure of VSU . Show how you
arrived at your answer.

Answers

Answer:

The measure of angle VSU is 35°.

Step-by-step explanation:

We know that the arc VST is 220°.

This means arc VUT is 140°, because it's the difference between the total arc 360° and 220°.

Also, we know that segments UV and UT are congruent, that means their arcs are also congruent. So, the measure of arc VUT can be equally divided, that means arc VU is 70°.

Now, the inscribed angle theorem states that the angle formed by two intersecting chords is half of its subtended arc.

\angle VSU = (1)/(2) arc(VU)=(1)/(2)(70\°) \n \angle VSU = 35\°

Therefore, the measure of angle VSU is 35°.

Ten weeks ago Jerry bought stock at 211/2
; today the stock is valued at 203
/8
. We could say the stock
is performing at which of the following?
A. On par
B. Par equality
C. Below par
D. Above par

Answers

Since 211/2 = 105.5 and 203/8 = 25.375, it is quite clear that Jerry has lost money on this stock. So the correct answer is C. Below par.

Answer:

(c) Below par

Step-by-step explanation:

Ratio at which stock is bought = 211/2

                                                   = 105.5

Therefore, the par value = 105.5

Recent ratio of stock = 203/8

                                   = 25.375

Value of stock today = 25.375

Since the ratio is decreased Hence, the value of stock is below par value.