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
nalin [4]
3 years ago
7

An arithmetic sequence has this recursive formula:

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

\text{\bf{C.}}\quad a_n=4+(n-1)(-7)

Step-by-step explanation:

An arithmetic sequence that is described by the explicit formula ...

  a_n=a_1+(n-1)d

can also be described by the recursive formula ...

  \left \{\begin{array}{l}a_1=\text{(first term)}&a_n=a_{n-1}+d&\end{array}\right.

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

a_n=4+(n-1)(-7)

You might be interested in
What is the approximate radius of the bowl shown that is shaped as a hemisphere
wolverine [178]

Answer:

Approximate radius of the given hemisphere is 3 in.

Step-by-step explanation:

Formula to calculate the volume of a hemisphere is given by,

V = \frac{2}{3}\pi r^{3}

Since, volume of the given hemisphere in the picture = 56.52 in²

By substituting the value of V in the formula,

56.52 = \frac{2}{3}\pi r^{3}

Now solve the expression for the value of 'r',

r³ = \frac{3}{2\pi }(56.52)

r³ = 26.99

r = ∛(26.99)

r = 3 in.

Therefore, approximate radius of the given hemisphere is 3 in.

5 0
3 years ago
Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per mon
Leokris [45]
Marilyn's finance charge at the end of the first month will be
  $991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
  $991.38 +16.44 -410.00 = $597.82

The finance charge at the end of the second month will be
  $597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
  $597.82 +9.91 -410.00 = $197.73

The finance charge applied at the end of the third month is
  $197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
  $197.73 +3.28 = $201.01
to pay off the balance.

In all, Marilyn has paid 2×$410.00 +201.01 = 
  $1021.01 . . . . . . . . corresponds to the first choice

_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.

8 0
3 years ago
Plz help me
RoseWind [281]

Answer: the first one is 43 because 80- 37 = 43

the second one is 41,976 because 212 times 198= 41,976

Step-by-step explanation:

7 0
3 years ago
What are the critical values X2/L and X2/R that correspond to a 99% confidence level and a sample size of 30?
Zarrin [17]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
It is in the form of m/n where m and n are integers and n is not equal to 0.
Allushta [10]

Answer:

A. Positive Exponent

B. Negative Exponent

C. Rational Exponent

Step-by-step explanation:

» Any fraction is a rational exponent.

» If n is not zero, it can be negative or positive value. Then the exponent can be negative or positive.

.

8 0
3 years ago
Other questions:
  • Triple the difference between 32 and 19. A. 3 x (32 -19) B. 32 - 19 x 3 C. 3 x 32-19 D. (3 x 32)-19
    13·1 answer
  • Which of the following is not an algebraic tool required for simplifying the polynomial expression?
    9·1 answer
  • The equation of a circle is x2+y2-6y+1=0 what are the coordintes of the center and the length of the radius
    6·1 answer
  • More attachments. Need correct answer.
    8·1 answer
  • What are the x and y intercepts
    13·1 answer
  • Plz help i will mark brainlist
    6·1 answer
  • (financial math) If you want to work in finance, it helps to have experience in Accounting.
    10·1 answer
  • O Assignment 00:00 Mario builds a triangular table to fit in the corner of his rectangular bedroom. Is it possible to construct
    8·1 answer
  • NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
    13·1 answer
  • If eight donuts cost 2.99 how much does 1 donut cost
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!