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REY [17]
3 years ago
14

Determine whether the sequence is arithmetic or geometric.

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0
S1.
32, 16, 0, -16, ...
It's an arithmetic sequence:
a_1=32;\ d=16-32=-16\\\\a_n=a_1+(n-1)d\\\\a_n=32+(n-1)\cdot(-16)=32-16n+16=48-16n

S2.
32, 16, 8, 4, ...
It's a geometric sequence:
a_1=32;\ r=16:32=\dfrac{1}{2}\\\\a_n=a_1r^{n-1}\\\\a_n=32\cdot\left(\dfrac{1}{2}\right)^{n-1}

Answer: sequence 1 is arithmetic and sequence 2 is geometric.
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Did I do this right?
Rasek [7]

Answer:

Yea u did......

Step-by-step explanation:

you did right because all the steps are right

5 0
3 years ago
Read 2 more answers
Classify each function. (a) y = x − 3 x + 3 root function logarithmic function power function trigonometric function rational fu
Studentka2010 [4]

Answer:

a) rational

b) rational

c)exponential

d) power function

e) polynomial function of degree 6

f) trig function

Step-by-step explanation:

Functions can be classified by the operations they contain. Remember the following functions:

  • Power function has as its main operation of an exponent on the variable.
  • Root function has as its main operation a radical.
  • Log function has as its main operation a log.
  • Trig function has as its main operation sine, cosine, tangent, etc.
  • Rational exponent has as its main function division by a variable.
  • Exponential function has as its main operation a variable as an exponent.
  • Polynomial function is similar to a power function. It has as its main function an exponent of 2 or greater on the variable.

Below is listed each function. The bolded choice is the correct type of function:

(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3

(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function

(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function

(d) y = x^5 trigonometric function power function exponential function root function logarithmic function

(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6

(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function

3 0
3 years ago
Find solution to logarithm. 
sveta [45]
\log5x+\log(x-1)=2\\
D:5x>0 \wedge x-1>0\\
D:x>0 \wedge x>1\\
D:x>1\\
\log5x(x-1)=2\\
10^2=5x^2-5x\\
5x^2-5x-100=0\\
x^2-x-20=0\\
x^2-5x+4x-20=0\\
x(x-5)+4(x-5)=0\\
(x+4)(x-5)=0\\
x=-4 \vee x=5\\
-4\not \in D\Rightarrow x=5

8 0
3 years ago
Read 2 more answers
Explain how the Quotient of Powers Property was used to simplify this expression.
Strike441 [17]

Answer:

\frac{5^{4}}{25} = 25

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the <u>Quotient Rule of Exponents</u><u>:</u>

\frac{a^{m}}{a^{n}} = a^{(m-n)}

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

\frac{5^{4}}{5^{2}} = 5^{(4 - 2)} = 5^{2} = 25

Method 2:

Even if you solve the given problem manually, you'd still get the same answer:

\frac{5^{4}}{25} = \frac{5*5*5*5}{25} = \frac{625}{25} = 25

Both methods produced the same result, proving that the correct answer is 25.

Please mark my answer as the Brainliest, if you find this helpful :)

3 0
3 years ago
If there are 20 pencils and 5 students write as a ratio for pencils to students in 3 ways below
Anton [14]
20:5
20
--
5

20 of 5
These are the answers to the question

5 0
3 years ago
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