Write the recursive formula for the geometric sequence. a1 = -2 a2 = 8 a3 = -32

2 answers:

5 0

$a_1 = -2,\ a_2 = 8,\ a_3 = -32\\\\a_2=a_1\cdot(-4)\ \ \ and\ \ \ a_3=a_2\cdot(-4)\\\\ the\ recursive\ formula:\\\\ \left \{ {\big{a_1=-2\ \ \ \ \ \ \ \ \ \ \ } \atop \big{a_n=a_{n-1}\cdot(-4)}} \right.$

FrozenT [24]3 years ago

4 0

$a_1 = -2,\ \ a_2 = 8,\ \ a_3 = -32\\\\r=\frac{a_{2}}{a_{1}}=\frac{8}{-2}=-4 \\\\The \ recursive \ formula \ for \ a \ geometric \ sequence \ is \ written \ in \ the \ form:\\\\ a_n=a_{n-1} \cdot r\\ \\ a_n=a_{n-1} \cdot (-4 )$

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3 years ago

The height of the javelin above the ground is symmetric about the line t = seconds. The javelin is 20 feet above the ground for

Levart [38]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.

Part 1:

we must see in the graph the axis of symmetry of the given parabola.
The axis of symmetry is the following vertical line:
$t = 2
$
Answer:
The height of the javelin above the ground is symmetric about the line t = 2 seconds:

Part 2:

we must see the time t for which the javelin reaches a height of 20 feet for the first time.
We have that when evaluating t = 1, the function is:
$h (1) = 20.
$
To do this, just look at the graph.
Then, we must observe the moment when it returns to be 20 feet above the ground.
For this, we have from the graph that:
$h (3) = 20 feet
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Therefore, a height of 20 feet is again reached in 3 seconds.
Answer:
The javelin is 20 feet above the ground for the first time at t = 1 second and again at t = 3 seconds

6 0

3 years ago

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Mademuasel [1]

9514 1404 393

Answer:

$189.32

Step-by-step explanation:

Add all of the numbers shown to the beginning balance to find the ending balance.

$92.19 -39.35 +49.76 +87.35 +9.97 -10.60 = $189.32

Tristan's balance at the end of the month was $189.32.

There should be no confusion. Money deposited into the account increases the balance by the amount deposited.

Money spent from the account decreases the balance by the amount spent.

Here, amounts deposited are given a plus sign (+); amounts spent are given a minus sign (-).

Additional comment

It can be tedious to enter these numbers correctly into a calculator. Many folks prefer a calculator that provides a "tape", a record of the amounts and operations the calculator uses in the computation. Alternatively, you can put the numbers in a spreadsheet and use the SUM function to do the addition for you. That, too, makes it easy to check that numbers have been entered correctly.

The attachment shows the calculation done in a spreadsheet.