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
evablogger [386]
2 years ago
5

A recursive rule for an arithmetic sequence is a1 = -4; an = an - 1 + 11

Mathematics
1 answer:
STALIN [3.7K]2 years ago
7 0

Step-by-step explanation:

a1 is already defined : a1 = -4

since an = an-1 + 11, we know d (the constant being added from term to term) is 11.

d = 11

the basic iterative rule is also already defined :

an = an-1 + 11

but we can always also express this in terms of a1 :

an = a1 + 11×(n-1)

therefore,

a10 = -4 + 11×9 = -4 + 99 = 95

You might be interested in
Solveee plssssssssssssss
igor_vitrenko [27]

Answer:

Nice art work, dear

Step-by-step explanation:

Good job

Stay safe, stay healthy and blessed.

Have a nice day !

Thank you

6 0
2 years ago
Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0
3 years ago
I need help on this also could I get an explanation on how you solved it? Please don't take my points ill get u banned. :P
kenny6666 [7]

Answer:

1/2

Step-by-step explanation:

4 is the total right and 5/7 make it half so it will be 1/2. hope this helps!

6 0
2 years ago
Read 2 more answers
0.0057 in scientific notation
Gelneren [198K]

Answer:

5.7*10^-3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the unit rate if 65 miles in 2 ½ hour.
ad-work [718]

Answer:

26 miles per hour

Step-by-step explanation:

65/2.5=26

6 0
2 years ago
Read 2 more answers
Other questions:
  • A contractor is calculating the interior perimeter of square windows on a building site. Each window will be framed with 2 inche
    7·1 answer
  • Please please help me
    15·1 answer
  • Please answer the question in the picture
    6·1 answer
  • Please help me out ....
    6·1 answer
  • What’s the volume of the sphere?
    8·2 answers
  • Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have
    9·1 answer
  • Can you help me in question 30?!
    8·2 answers
  • Which expression is equivalent €2x5/18? Assume x>0.
    7·1 answer
  • Myra ordered 648 roses for her flower shop. Her helpers made boquets for every 8 roses.How many bouquet of roses were made for s
    14·1 answer
  • What is the probability of rolling a 5 on a six sided number cube
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!