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
mylen [45]
3 years ago
12

Please look at file and answer all three questions with work

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

  • geometric
  • common ratio: -5
  • a[n]=-5a[n-1]; 625

Step-by-step explanation:

<h3>A.</h3>

We start this problem the way we start all problems: we read the problem statement and observe the given data and relationships.

Here, we observe that the given numbers are all multiples (powers) of 5, <em>with alternating signs</em>. We know that an arithmetic sequence cannot have alternating signs, so this is <em>not an arithmetic sequence</em>.

We are familiar with the first few powers of 5, so we recognize the terms have a common ratio of -5. If terms have a common ratio, they are a geometric sequence, so this is a geometric sequence.

__

<h3>B.</h3>

As we observed in Part A, the common ratio is -5.

__

<h3>C.</h3>

The full recursive formula will include the initial value in the sequence:

  a[1] = -5

  a[n] = -5·a[n-1]

Then the next value is ...

  a[4] = -5·a[3] = -5·(-125)

  a[4] = 625

You might be interested in
Can y’all help me on question 20?!
Oxana [17]

Answer:

372 miles

Step-by-step explanation:

brainliest please

5 0
3 years ago
-(-3x-5)=7x what is x​
konstantin123 [22]

Step-by-step explanation:

-(-3x-5)=7x

3x+5=7x

4x=5

x=5/4

5 0
3 years ago
Read 2 more answers
Let (6,-5) be a point on the terminal side of θ. Find the exact values of sin θ, sec θ, and tan θ.
makvit [3.9K]

Answer:

sinθ = -5/√61

secθ = √61/6

tanθ = -5/6

Step-by-step explanation:

From the given coordinate (6, -5), x = 6 and y = -5. This shows that the point lies in the 4th quadrant. In the fourth quadrant, only cos θ is positive, both sin θ and tan θ are negative.

Let us get the value of the radius 'r' first before calculating the trigonometry identities.

Using the Pythagoras theorem;

r^2 = x^2 + y^2\\r^2 = 6^2 + (-5)^2\\r^2 = 36+25\\r^2 = 61\\r = \sqrt{61}

Using SOH, CAH, TOA to get the trigonometry identities;

Given x = 6, y =5 and r = √61

sin \theta = opp/hyp = y/r\\sin \theta = 5/\sqrt{61} \\

Since sin θ, is negative in the fourth quadrant, sin \theta = -5/\sqrt{61} \\

cos \theta = adj/hyp = x/r\\cos \theta = 6/\sqrt{61} \\

sec \theta = \frac{1}{cos \theta} \\sec \theta = \frac{1}{6/\sqrt{61}  } \\sec \theta = \frac{\sqrt{61} }{6}

For tanθ:

tan \theta = \frac{opp}{adj} = \frac{y}{x}  \\tan \theta = \frac{5}{6}\\

Since tan θ, is negative in the fourth quadrant, tan \theta = -5/6

7 0
4 years ago
How much more will 34,000 earn in interest than 18,000 if both are invested in savings accounts with APYs of 5.6% for a year?
8_murik_8 [283]

Answer:

<em>Amount of $34000 will earn </em><em>$896</em><em> more interest as compared to the amount of $18000.</em>

Step-by-step explanation:

We know that,

i=\dfrac{Prt}{100}

where,

i = interest,

P = principle,

r = rate of interest,

t = time period.

For principle amount of $34,000,

i_1=\dfrac{34000\times 5.6\times 1}{100}=\$1904

For principle amount of $18,000,

i_2=\dfrac{18000\times 5.6\times 1}{100}=\$1008

So the difference between the interest is,

i_1-i_2=1904-1008=\$896

Therefore, amount of $34000 will earn $896 more interest as compared to the amount of $18000.

5 0
4 years ago
Suppose you have 8 coins and you have at least one each of a quarter, a dime, and a penny. What is the least amount of money you
Black_prince [1.1K]

41 cents one quarter one dime six pennies

4 0
3 years ago
Other questions:
  • Each student in a class plays one of three sports soccer, volleyball or basketball. 1/4 of them play soccer. 3/5 of them play vo
    15·1 answer
  • What is the answer to this equation?
    12·2 answers
  • Mr. Jameson is walking toward his nine-story hotel and stops to look up to the top of the building. The angle of elevation to th
    9·2 answers
  • Simplify the following expression: 5^2 --4
    6·1 answer
  • Please Help With Math... Brainliest
    9·1 answer
  • Angela has 15 chocolate cookies. She eats 6 of them, then goes to the store and buys 1 more. How many cookies does Angela have n
    14·2 answers
  • True or false and any nonzero integer divided by zero equals zero
    12·1 answer
  • Slope of (-8,14) and (2,-11)
    13·1 answer
  • The price of a train ticket consist of a eternal fee plus a constant fee per stop
    14·1 answer
  • What is the simplified form of the following expression 2x^2y 3x^2 4y 3x^2y 2y
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!