1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
algol13
3 years ago
12

16, -6.4, 2.56, ..., 6th term The 6th term of the sequence is

Mathematics
1 answer:
AlekseyPX3 years ago
4 0

Answer:

the 6th term is = -0.16384

Step-by-step explanation:

Notice this is a geometric sequence with first term 16, and common ratio (-0.4)

Therefore the first 6 terms of the sequence are:

a1 = 16

a2 = 16 * (-0.4) = -6.4

a3 = -6.4 * (-0.4) = 2.56

a4 = 2.56 * (-0.4) = -1.024

a5 = -1.024 * (-0,4) = 0.4096

a6 = 0.4096 * (-0.4) = -0.16384

The the 6th term is = -0.16384

You might be interested in
Triangle EFG is dilated by a scale factor of 1/4 ​ to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of
WINSTONCH [101]

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of \frac{1}{4} i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125

6 0
3 years ago
If Eric Sanchez saves $60 a month by using coupons and doing comparison shopping, (a) what is the amount for a year? (b) What wo
svetoff [14.1K]
A. Annual Savings = $60 * 12 = $720

b. $8384.48
4 0
3 years ago
What is the greatest common factor of the pair of numbers?
geniusboy [140]
The answer is 66.
66 * 3 = 198
66 * 5 = 330
3 0
3 years ago
The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of
Serhud [2]
2789 dimensions because it’s simple u multiple them
4 0
3 years ago
How does the graph of f(x)=3lx+2l+4 relate to its parent function?
Sergeeva-Olga [200]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}
\end{array}

now, with that template above in mind, let's see this one

\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}


A=3, B=1,  shrunk by AB or 3 units, about 1/3
C=2,          horizontal shift by C/B or 2/1 or just 2, to the left
D=4,          vertical shift upwards of 4 units

check the picture below

7 0
3 years ago
Other questions:
  • Solve and show steps. 3 divided by 4.236
    6·1 answer
  • PLEASE HELP ME!!!!!!!!!
    10·1 answer
  • A druggist wants to reduce a 20-ounce quantity of a 7% solution of iodine to a 4% solution by adding pure alcohol. How much alco
    9·1 answer
  • A parking lot near the sports field holds a total of 52 vehicles. There are 42 cars parked there now. Half of these cars are red
    13·1 answer
  • The approximate value of 5.5 million x 1.9 thousand is<br>(scientific notation)
    14·1 answer
  • ABCDEF is a regular hexagon. The dashed line segments form 60° angles. What is the angle of rotation counterclockwise about P th
    7·1 answer
  • How do you know whether two quantities x and y are proportional?
    6·1 answer
  • In the data set below, what is the mean absolute deviation? 76, 67, 82, 25, 54, 15, 24
    6·2 answers
  • Simplify the expression <br> 6x -(5x-4)
    7·1 answer
  • What is the measure of LBAC?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!