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3 years ago

What is the last term of 0.03,0.06,0.12,,,,,,1.92

Mathematics

1 answer:

hjlf3 years ago

6 0

There is no "last term." Since the pattern is increasing by .03 each time, then the pattern continues forever.

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Can someone help with #4 15 points

BigorU [14]

I would check my math but 4/3 = 1.3 x 18= 24 divided by 2 for radius would be 12x12=144 x pie or 3.14 would be 452.16

4 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

How do you simplify 9/8?

Mademuasel [1]

Answer:

1 1/8

Step-by-step explanation:

divide 9 and 8 and u get ur answer Hoped I helped im Eve btw. Have a great day and consider marking this brainliest if you do thank you in advanced!

4 0

3 years ago

Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.

lutik1710 [3]

Answer:

See below ~

Step-by-step explanation:

Question 3 : (x, y - 5)

K' = (-3, 2 - 5) = (-3, -3)
L' = (1, 4 - 5) = (1, -1)
M' = (-1, 0 - 5) = (-1, -5)
N' = (-5, -2 - 5) = (-5, -7)

Question 4 : (x + 4, y + 1)

D' = (-4 + 4, 3 + 1) = (0, 4)
E' = (0 + 4, 2 + 1) = (4, 3)
F' = (-2 + 4, -6 + 1) = (2, -5)
G' = (-6 + 4, -5 + 1) = (-2, -4)

5 0

2 years ago

. What is the minimum number of rows of bricks

vova2212 [387]

Answer: 22 rows

Step-by-step explanation: Divide 48 by 2.25 and round up.

Hope this helps, have a good day

3 0

3 years ago