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
At 7pm, the temperature outside was -5 degree celsius. What does |-5| represent in this situation?
Papessa [141]
It represents the absolute value of negative 5 which is positive 5
3 0
3 years ago
Read 2 more answers
What percent of 40 is 14?
Lemur [1.5K]

First translate the question into an equation.

"What percent" means x/100, "of 40" means times 40, "is 14" equals 14.

So we have (x)(40) = 14 or 40x = 14.

Dividing both sides by 40, we find that x = 0.35.

Now, we want to write our answer as a percent.

So we move the decimal 2 places to the right and we have 35%.

3 0
2 years ago
Solve each system of equations <br> X^2+y^2+18x+29=0<br> X+y=1
tatyana61 [14]

Answer:

two solutions : (-3;4)  and (-5;6)

Step-by-step explanation:

hello :

X²+y²+18x+29=0    ..(1)

X+y=1 ...(2)

by (2) : y = 1 - x

put this value in (1) : x² +(1-x)² +18x+29 = 0

x² +1 +x² -2x+18x +29 =0

2x²+16x +30 = 0

x²+8x+15 =0

delta = b²-4ac     a=1   b=8   c = 15

delta = (8)²-4(1)(15)=64-60 =4 = 2²

X1=(-8+2)/2 = - 3

X2=(-8-2)/2 = - 5

case 1 : x = -3    y = 1 - (-3) = 4

case 2 : x = -5    y = 1 - (-5) = 6

8 0
3 years ago
What is the domain of y=3^x-2 +1
mel-nik [20]

Answer:

x∈R

Step-by-step explanation:

4 0
3 years ago
Which is most likely the thickness of a penny when measured with a ruler? A) 0.016 in B) 1.5 mm C) 1.5 cm D) 1.55 mm
olganol [36]
The answer is B 1.5 mm
8 0
2 years ago
Read 2 more answers
Other questions:
  • If it takes the Whovenile Delinquents 32 minutes to hike up Mount Crumpit(3000ft), but only 3 minutes to get down, what is the s
    15·1 answer
  • a machinist can produce 114 Parts in 6 minutes at this rate how many parts can The Machinist produce in 15 minutes​
    14·1 answer
  • Ducks unlimited helps sample duck species across the united states. Samples from one particular location for the last two years
    6·2 answers
  • 85/100 = x/80. What is the unknown quantity?
    15·2 answers
  • Which expression is equivalent to ^4 square root x^10 <br><br> Please help:/
    5·1 answer
  • Are these ratios equivalent 18: 8 and 20:14
    10·2 answers
  • Factor out -2 out of -6x+10
    5·3 answers
  • Please help me with the first half
    12·1 answer
  • PLEASEEEEEE HELPPPPP ASAPPPPP
    6·2 answers
  • Please help I’ll mark you as brainliest if correct
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!