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
lesya [120]
3 years ago
11

Anet said that the common difference in the sequence below is -2. Is she correct? Justify your answer using complete sentences a

nd proper grammar.
1, -2, 4, -8....







A new fitness center opened up with 24 clients. Each week they are signing up an average of 5 new members. The business owner wrote the explicit formula for this situation as being A(n) = 24 + (n - 1)(5). Is this correct for this situation? Justify your answer using complete sentences and proper grammar.
HTML Editor Keyboard Shortcuts
Mathematics
1 answer:
ollegr [7]3 years ago
5 0
The given sequence is
1, -2, 4, -8, ...., 
Multiply the 1st term by -2 to obtain     1*(-2) = -2   (the 2nd term)
Multiply the 2nd term by -2 to obtain -2*(-2) = 4    (the 3rd term)
Multiply the 3rd term by -2 to obtain  -2*(4) = -8  (the 4th term)
Answer:
Anet is incorrect.
This is a geometric sequence with a common ratio of -2.

Initial size = 24 (This is the 1st term in the sequence)
2nd term = 24 +5 = 24 + (2-1)*5
3rd term =  24 + 5 + 5 = 24 +(3-1)*5
By induction, the n-th term is
A(n) = 24 + (n-1)*5
Answer:
The given formula is correct.
You might be interested in
What is the reason for each step in the solution of the inequality?
Citrus2011 [14]

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: -38-3(x+5)>6x-17

We need to match each step with the reasons.

The given steps are:

1.

−38−3(x+5)>6x−17

So, Reason for step 1: Given

2.

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

3.

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

4.

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

5.

−9x>36

So, Reason for step 5: Addition property of order

6.

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/4192226

#learnwithBrainly

7 0
2 years ago
95 is 95% of what number?
Serggg [28]
95% * x = 95

95/100 * x = 95

0,95 * x = 95

0,95x = 95 / : 0,95

x = 100

3 0
3 years ago
Read 2 more answers
A semicircle has a center at X and diameter WZ. The radius XY of the semicircle has a length of 2. The chord YZ has a length of
siniylev [52]
, it is important to recognize that the point (x,y) in the first quadrant represents any point on the semicircle. In Figure 2, the same semicircle is shown with the inscribed rectangle drawn for three different values of x.
4 0
3 years ago
Please help me solve for angle B!!
Vaselesa [24]

I believe it is 50 degrees

Explanation:

180-115 = 65 degrees

Since the base angles of of an isosceles triangle are equal,

Angle C =angle A= 65 degrees

65 times 2 = 130

180-130=50

50 degrees=measure of angle B

Hope this helps

5 0
3 years ago
Find the product.<br> (x-2) (x-3)
ivann1987 [24]

Answer:

Expand the polynomial using the FOIL method.

x2-5x+6

Step-by-step explanation:

happy to help.

4 0
3 years ago
Other questions:
  • The sum of two consecutive even integers is -94
    12·1 answer
  • Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many penn
    8·2 answers
  • Can someone answer 14,15 and 16? Thank you!
    12·1 answer
  • Write the standard form of the line that passes through the given points (6,1) and (5,4)
    10·1 answer
  • Please help me with this please 20 points
    10·2 answers
  • Simplify. This algebraic expression y-3/3+12
    8·2 answers
  • What is the answer to this geometry question ?
    9·2 answers
  • What is the measure of missing angle indicated?
    11·1 answer
  • An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for
    15·1 answer
  • Question 7 of 10 What is the most logical first step in solving the equation x² +10x +25 - 11? A. Subtract 11 from both sides of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!