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Alik [6]
3 years ago
12

What is the missing term in the geometric sequence?

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
Is a geometric sequence, so that means a number is multiplying to current term to get the next one... meaning if we simply divide those two terms, the quotient is that "multiplier", namely the "common ratio"

so... hmm let's try say -1536 and 384

\bf \cfrac{-1536}{384}\implies -4\impliedby \textit{common ratio}
\\\\\\
n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
n=n^{th}\ term\\
----------\\
a_1=-6\\
r=-4\\
n=3
\end{cases}
\\\\\\
\textit{the third term is then }\implies a_3=(-6)(-4)^{3-1}
\\\\\\
a_2=(-6)(-4)^2\implies a_2=-6\cdot 16\implies a_2=-96

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What is an equation of the line that is parallel to y=9−5x and passes through (0, 8) ?
TEA [102]

Answer:

y = -5x Y8  

Step-by-step explanation:

Parallel lines have the same slope.

Your function is

y = 9 − 5x = -5x+ 9

slope = -5

The parallel line

The line must have slope = -5 and include (0, 8), so

8 = -5×(0) + b

8 = 0 + b

b = 8

The equation for the parallel line is

y = -5x + 8

In the diagram below, the red line is the graph of y = 9 -5x.

The parallel blue line is the graph of y = -5x + 8.

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3 years ago
chad buys peanut in 2-pound bags.He repackages them into bags that hold 5/6 pound of peanuts.How many 2-pound bags of peanuts sh
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First, let's find out how many 5/6 pound bags he can fill with on 2 pound bag.

2 divided by 5/6
2 x 6/5
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He can fill 2.4 bags with one 2 bag.
Now we just need to multiply 2.4 by a number that will make it a whole number. You can use the guess and check method starting with 2 to figure your answer out, but 2.4 x 5 = 12 which is a whole number.

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3 years ago
a radioactive sample contains 3.00 g of pure 11c, which has a half-life of 20.4 min. (a) how many moles of 11c are present initi
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The number of mole of pure 11C (carbon-11) initially present is 0.2727 mole

<h3>Description of mole </h3>

The mole of a substance is related to it's mass and molar mass according to the following equation

Mole = mass / molar mass

With the above formula, we can obtain the number of mole of pure 11C. Detail below:

<h3>How to determine the mole of 11C</h3>

From the question given, the following data were obtained:

  • Molar mass of 11C = 11 g/mol
  • Mass of 11C = 3 g
  • Mole of 11C =?

Mole = mass / molar mass

Mole = 3 / 11

Mole = 0.2727 mole

Therefore, the number of mole of pure 11C initially present is 0.2727 mole

Learn more about mole:

brainly.com/question/13314627

#SPJ4

8 0
1 year ago
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