All categories

2 years ago

What is the explicit formula that represents the geometric sequence -2, 8, -32, 128

Mathematics

1 answer:

lubasha [3.4K]2 years ago

3 0

$a_n=a_1r^{n-1}\\\\a_1=-2;\ a_2=8;\ a_3=-32;\ a_4=128\\\\r=a_2:a_1\to r=8:(-2)=-4\\\\\boxed{a_n=-2\cdot(-4)^{n-1}}$

You might be interested in

What is the solution to the inequality +4 50?

kicyunya [14]

Answer:

d<-1.75

Step-by-step explanation:

4 0

2 years ago

Can someone help me with this? Please-

lozanna [386]

Answer:

Step-by-step explanation:

8 0

2 years ago

Explain how to model the multiplication of –6 and 3 on a number line

Sedaia [141]

Answer:

Multiplication is basically repeating addition

Step-by-step explanation:

So, on a numberline, start at 0 then add -6 three times (since you are multiplying it by three) and you should get -18

5 0

3 years ago

Find the corresponding effective interest rate for 3% per year compounded continuously?

jeyben [28]

Answer:

3.045%.

Step-by-step explanation:

We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.

We will use effective interest formula to solve our given problem.

$r=e^i-1$ , where,

r = Effective interest rate,

e = Mathematical constant,

r = Interest rate in decimal form.

Let us convert given interest rate in decimal form.

$3\%=\frac{3}{100}=0.03$

Substitute values:

$r=e^{0.03}-1$

$r=1.030454533953517-1$

$r=0.030454533953517$

$r\approx 0.03045$

Convert into percentage:

$0.03045\times 100\%=3.045\%$

Therefore, the corresponding interest rate would be 3.045%.

3 0

3 years ago

Simplify 2.5 (16/2-2.3) - 2

dsp73

Answer:

it's just ( -3.3 )but I need to put 20 + words and stuff so read this if you would like

7 0

2 years ago