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3 years ago

What is the recursive formula and the explicit formula for the geometric sequence 2,6,18,54

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

First term = 2
common ratio = 6

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What is the product?

Tanzania [10]

Answer:

$=\begin{pmatrix}-5&6\\ 1&-4\end{pmatrix}$

Step-by-step explanation:

$\begin{pmatrix}-3&4\\2&-5\end{pmatrix}\begin{pmatrix}3&-2\\ 1&0\end{pmatrix}$

Multiply the row of the first matrix to the column of the second matrix

$\begin{pmatrix}-3&4\end{pmatrix}\begin{pmatrix}3\\ 1\end{pmatrix}=\left(-3\right)\cdot \:3+4\cdot \:1$

$\begin{pmatrix}-3&4\end{pmatrix}\begin{pmatrix}-2\\ 0\end{pmatrix}=\left(-3\right)\left(-2\right)+4\cdot \:0$

$\begin{pmatrix}2&-5\end{pmatrix}\begin{pmatrix}3\\ 1\end{pmatrix}=2\cdot \:3+\left(-5\right)\cdot \:1\$

$\begin{pmatrix}2&-5\end{pmatrix}\begin{pmatrix}-2\\ 0\end{pmatrix}=2\left(-2\right)+\left(-5\right)\cdot \:0\$

$=\begin{pmatrix}\left(-3\right)\cdot \:3+4\cdot \:1&\left(-3\right)\left(-2\right)+4\cdot \:0\\ 2\cdot \:3+\left(-5\right)\cdot \:1&2\left(-2\right)+\left(-5\right)\cdot \:0\end{pmatrix}$

simplifying them we get

$=\begin{pmatrix}-5&6\\ 1&-4\end{pmatrix}$

8 0

3 years ago

Wendy saved up for a family trip to the beach. For each $1 she saved, her parents pledged to save $5. If her parents were able t

viva [34]

225/5 = 45
This means the parents gave her five dollars forty five times. If they gave her a five every time she saved one dollar, you just have to multiply the money she saved each time and the number of times she saved it, and you'll get the answer.
Wendy saved $45 by herself

6 0

3 years ago

Read 2 more answers

In a sample of 35 high school seniors, 14 of them are attending college in the fall. Find the 95% confidence interval for the tr

kati45 [8]

Answer:

Between 23.77% and 56.23%

Step-by-step explanation:

On your TI-84

Press STAT

Use right arrow to scroll over to highlight TESTS

Use down arrow to scroll down to A:1-PropZInt...

Press ENTER

Make the screen read

x:14

n:35

C-Level:0.95

Calculate

highlight Calculate

Press ENTER

See this:

(.2377,.5623)

p(hat)=.4

n=35

The confidence interval is 0.2377 < p < 0.5623

Between 23.77% and 56.23%

7 0

3 years ago

Can someone please do this please.

Finger [1]

Answer:

72°

Step-by-step explanation:

tan x= PN/OP=95/31

⇒x ≈ 72°

7 0

3 years ago

The table shows the air temperature in degrees Celsius at different altitudes in kilometers:

miv72 [106K]

Answer:

Third graph, I took the test

Step-by-step explanation:

3 0

3 years ago