Complete each of the following statements with the letter that represents the expression

Mathematics

1 answer:

I am Lyosha [343]3 years ago

3 0

Answer:

B, A, C if you are going in order downwards.

Step-by-step explanation:

idk if this is the right answer bc I had the same question with that same sentence and I got the correct answer so I decided to answer your question for u. Hope it helps.

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What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>

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marusya05 [52]

Answer:

Step-by-step explanation:

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