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Juliette [100K]
2 years ago
14

Find the formula for the geometric sequence 4, -8, 16, -32

Mathematics
1 answer:
Goshia [24]2 years ago
8 0

Answer:

bn=4*(-2)^(n-1) where n is a number of searched term

Step-by-step explanation:

b1=4   b2=-8

q=b2/b1=-8/4=-2

bn=b1*q^(n-1)

bn=4*(-2)^(n-1) where n is a number of searched term

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What is the number of times a base is multiplied by its self indicated by an exponent
lozanna [386]

The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.

Let's say we had the expression 5^3

The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.

The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so

5^3 = 5*5*5 = 125

With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.

5 0
3 years ago
Matching Functions
Ainat [17]

Answer:

Graph A → Equation A → Table B → Property D

Graph D → Equation B → Table A → Property B

Graph B → Equation C → Table C → Property E

Graph C → Equation D → Table E → Property A

Graph E → Equation E → Table D → Property C

Step-by-step explanation:

Graph A corresponds to equation A, x·y = 2, and Table B → Property D

xy = 2 has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0

y = 2/x, when x = 0, y = ∞

Graph D corresponds to equation B, -\left |  x\right | + 1 which corresponds to table A → Property B

The domain extends from (-∞, ∞), and [1, -∞)

Graph B corresponds to equation C, -(x + 2)² which gives the values in Table C and Property E wich is a horizontal shift of 2 units left and a reflection across the x-axis

Graph C corresponds to equation D, (1/3)·x - 2, which gives the values on Table E and Property A

The y-intercept of (1/3)·x - 2 = (0, -2), and the x-intercept = (6, 0)

Graph E corresponds to equation E, x³ = y, which gives the values on Table D  Property C, y is x cubed

6 0
3 years ago
Courtney works at the local shoe store and receives $150 a week plus 3% of all sales over $1000. This week her sales were $3200.
schepotkina [342]

The equation you would use to find her earning for the week would be:

y=0.03(x-1000)+150

This would mean she made $66 from commissions and $216 total.

6 0
3 years ago
u don’t need to do the explanations for the questions. Just answer each expression with correct/incorrect. thank-you :)
tigry1 [53]

Answer:

correct

incorrect

incorrect

correct

5 0
3 years ago
8/5 * 5/9 greater than equal to or less than 5/9​
Musya8 [376]
I believe this answer is greater than
6 0
3 years ago
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