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3 years ago

Complete the recursive formula of the arithmetic sequence -17, -8, 1, 10,... a(1)= a(n)=a(n-1)+

Mathematics

1 answer:

hichkok12 [17]3 years ago

8 0

To find a(1), simply look at the first term, which is -17. This gives a starting point for the recursive formula.

Then, we want to write the recursive formula as a(n) = a(n - 1) + c, where c is the number you add to a term to get the next term. You can see from the values given that you are adding 9 to each term to get the next one, so the recursive formula would be a(n) = a(n - 1) + 9.

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3 years ago

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3 years ago

Caren held 260 of the shares for herself and sold the rest in equal amounts to six investors. How many shares does each investor

notsponge [240]

Answer:

40 shares each and $3,000 each

Step-by-step explanation:

The computation is shown below:

For the number of shares

Since there are total of 500 shares out of which 260 shares are held by Caren so the remaining shares left is

= 500 shares - 260 shares

= 240 shares

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So the number of shares owned by each investor is

$= \frac{240}{6}$

= 40 shares

Now the value of the shares held by each inventory is

$= 40 shares \times \$75$

= $3,000

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$= \frac{\$65,000}{500}$

= $130

And each investor holds 40 shares

So, each investor is liable for

$= \$130 \times 40\ shares$

= $5,200

As we can see that the value of the shares is less than the amount liable by each investor

So each investor is liable for $3,000

And, the liability of Caren is

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3 years ago

1. List the cubes of -2, -1, 0, 1, 2, 3, and 4.

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4 years ago

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almond37 [142]

$c.\ f(x)=\dfrac{18}{x}-9\ \text{and}\ g(x)=\dfrac{18}{x+9}\\\\\text{in f(x), solve for x}\\\\\dfrac{18}{x}-9=y\ \ \ \ |+9\\\\\dfrac{18}{x}=y+9\\\\\dfrac{18}{x}=\dfrac{y+9}{1}\ \ \ \ |\text{cross multiply}\\\\x(y+9)=18\ \ \ \ |:(y+9)\\\\x=\dfrac{18}{y+9}\to f^{-1}(x)=\dfrac{18}{x+9}$

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3 years ago