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
Mice21 [21]
2 years ago
14

Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an

– 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.
Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0

The recursive form of an arithmetic sequence is \rm a_n = a_{n-1} + 7, where the first term a₁ = –10. Then the correct option is A.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

We know that the formula of recursive for an arithmetic sequence is given as

\rm a_n = a_{n-1} + d

Let the first value be -10. and the common difference is 7.

Then the arithmetic sequence will be

\rm a_n = a_{n-1} + 7,\ where \ a_1 = -10

More about the sequence link is given below.

brainly.com/question/21961097

You might be interested in
What is scale factor ?
Marta_Voda [28]
A scale factor is a number which scales,or multiples, some quantity... hope this helps!
7 0
3 years ago
Read 2 more answers
What is the fraction as a decimal?<br> 2<br> -0.015<br> -0.15<br> -0.15<br> -0.15
Alona [7]
I don’t know that’s no clear. The answer is 28821128.
5 0
3 years ago
A highway patrol officer is seated on a motorcycle on a curvy section of Highway 1. The posted speed limit is 45 miles per hour
Alex787 [66]

Answer:

  80.7 mph

Step-by-step explanation:

In order to catch the car at the exit, the officer must cover the distance in 30 seconds less time than the car does. The time, speed, distance relation can be used.

<h3>Time for car to reach the exit</h3>

The relation between time, speed, and distance is ...

  time = distance/speed

Here, speed is in miles per hour, and distance is in miles. That means time will be given in hours by the straightforward application of this formula.

  time = (3.6 mi)/(68 mi/h) = (3.6/68) h = 9/170 h

<h3>Time for the motorcycle to reach the exit</h3>

There are 3600 seconds in 1 hour, so 30 seconds represents this fraction of 1 hour:

  30/3600 = 1/120

The motorcycle will have this amount of time less than the time the car takes to reach the exit, so ...

  (9/170 -1/120) h = (9(120)-170)/(170×120) h = 910/20400 h = 91/2040 h

<h3>Motorcycle speed</h3>

The speed required to cover 3.6 miles in 91/2040 hours is ...

  speed = distance/time

  (3.6 mi)/(91/2040 h) = 3.6×2040/91 mph = 7344/91 mph ≈ 80.7 mph

The officer's average speed in pursuit must be 80.7 miles per hour (or faster).

__

<em>Additional comment</em>

There are other ways the problem can be worked. One of them is to consider the remaining distance the car must travel when the officer begins pursuit. That will be 3.6 mi less (1/120 h)(68 mi/h) = 17/30 miles. The ratio of the officer's speed to the car's speed will be the same as the ratio of the officer's miles to the car's miles: 3.6/(3.6 -17/30) × 68 mph ≈ 80.7 mph.

Intermediate values used in the calculations should be kept at full calculator precision. Rounding should only be done at the end. Here, the actual speed required is 80.7032967... mph, rounded down for the above result.

6 0
2 years ago
the sum of an integer and seven more than four times the next consecutive integer is 66. find the integers
AveGali [126]
Lets say that integer is x so its consecutive number is x+1.
x+ 7+4(x+1)=66
x+7+4x+4=66
5x+11=66
5x=55
x=11

next number is 12
7 0
3 years ago
Which fraction is equal a whole number ? <br><br> A. 3/6 B.7/8 C.10/4 D.8/4
Yanka [14]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • The vertex of this parabola is at (-2,-3). When the y-value is -2 the x-value is -5. What is the coefficient of the square term
    15·1 answer
  • Factor-20x2 + 13x + 21.<br> How do you solve this
    5·1 answer
  • How to find the anwser to 4=(2+2x)-x
    10·1 answer
  • troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga
    7·1 answer
  • Need help quick due later
    8·1 answer
  • an average tub uses 8 gallons of water and an average shoes uses 6 gallon. to provide baths for 60 people, how much more water w
    9·1 answer
  • Simplify the following expression -10x + 10x
    8·1 answer
  • WILL GIVE 20 POINTS!!! PLEASE HELP!!!
    8·2 answers
  • What is the solution set for
    8·1 answer
  • The equation of a line is given below.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!