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3 years ago

Find the sum of the geometric series if n=6, r= 1/4, a = 2.

Mathematics

1 answer:

galben [10]3 years ago

3 0

Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67

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What is the derivative of this function?

Alex17521 [72]

$\bf y=\sqrt{x}-\left( \frac{1}{2} \right)^x\implies y=x^{\frac{1}{2}}-\left( \frac{1}{2} \right)^x\implies \cfrac{dy}{dx}=\frac{1}{2}x^{\frac{1}{2}-1}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)
\\\\\\
\cfrac{dy}{dx}=\frac{1}{2}x^{-\frac{1}{2}}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)\implies 
\cfrac{dy}{dx}=\cfrac{1}{2\sqrt{x}}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)$

6 0

3 years ago

?? So lost with this

labwork [276]

Answer:

$A)\ 1,\ -1,\ -3\\\\B)\ d=-2\\\\C)\ \left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right\\\\D)\ f(n)=-2n+13$

Step-by-step explanation:

It's an arithmetic sequence.

9 = 11 - 2

7 = 9 - 2

5 = 7 - 2

3 = 5 - 2

A) next three terms: 3 - 2 = 1, 1 - 2 = -1, -1 - 2 = -3

B) Common difference = -2

C) Recursive Function:

$\left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right$

D) Explicit Function:

$f(n)=a_1+(n-1)d$

a₁ - first term

d - common difference

Substitute a₁ = 11 and d = -2:

$f(n)=11+(n-1)(-2)=11-2n+2=-2n+13$

4 0

4 years ago

-4k^2-8k-3 = -3-5k^2

mel-nik [20]

$-4k^2-8k-3 = -3-5k^2 \\ \\ -4k^2 - 8k = -5k^2 \\ \\ 4k^2 + 8k - 5k^2 = 0 \\ \\ -k^2 + 8k = 0 \\ \\ 8k - k^2 = 0 \\ \\ k(8 - k) = 0 \\ \\ k = 0,8 \\ \\$

The final result is: k = 0, 8.

8 0

3 years ago

Read 2 more answers

HELP PLEASE <br><br> Complete the table given one rule <br><br> Rule: y=4x

Aleksandr-060686 [28]

You plug in the numbers listed under x into the equation, and it will give you your y value:

x is 3

y = 4(3)

y = 12

x is 4

y = 4(4)

y = 16

x is 5

y = 4(5)

y = 20

5 0

3 years ago

Please help thank you :)

dedylja [7]

Answer:

Step-by-step explanation:

Angle 1 is equal to angle 3 because they are opposite each other so

Angle 1=43 degrees

Angle 1 and angle 2 have a sum of 180 degrees because they are adjacent to each other.

angle 2=180-43=137 degrees.

angle 2 and 4 are opposite each other so they are equal

angle 4=137 degrees.

3 0

3 years ago

Read 2 more answers