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
Lyrx [107]
3 years ago
5

- Write a recursive formula to represent the sequence below. (3,7, 11, 15, 19,23,27,31,35, ...)

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

<em><u>The recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n  = 1, 2, 3, ....

<em><u>Solution:</u></em>

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

<em><u>Let us find the difference between terms</u></em>

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The nth term of arithmetic sequence is given by:</u></em>

a_n =a_1+(n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

a_1=3

Substitute in above formula,

a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1

<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n = 1, 2, 3, ......

You might be interested in
WILL GET BRAINLEST AND TONS OF POINTS
Brut [27]

Answer:

Yamato's here!

Step-by-step explanation:

Oh well thank you! Have a nice and great holiday!!

(^ - ^ /)Xoxo, Yamato-

3 0
3 years ago
Jeff can walk comfortably at 2.25 miles per hour. Find a linear equation that represents the total distance Jeff can walk in t h
Westkost [7]

Answer:

y=2.25x

Where y is the distance walked and x is time.

4 0
3 years ago
Hat is the value of the expression –5x4 when x = –2?
sleet_krkn [62]

\bold{Hey\ there!}

\bold{Assuming,\ you\ meant: -5(-2)^4}

  • \bold{If\ so\ follow\ these\ steps\downarrow}
  • \bold{(-2)^4=16}
  • \bold{(-5)\times 16=-80}
  • \boxed{\boxed{\bold {Thus,\ your\ answer\ is: -80}}}\checkmark

\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}

~\frak{LoveYourselfFirst:)}

7 0
3 years ago
Timmy wants to buy a scooter and the price was $50. When
Lunna [17]

Answer:

$30

Srry if its wrong

Step-by-step explanation:

3 0
3 years ago
Which is the equation of a parabola with vertex (4,3) and directrix x = 6?
ryzh [129]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • In one settlement, there were 29 horses. There were 9 more brown horses than black horses. How many of each color were there?
    8·1 answer
  • Can an isosceles triangle be a right angle
    13·1 answer
  • Write 8.2 x 10^-5 in standard notation.<br> A. 0.000082<br> B. 0.00082<br> C. 82,000<br> 820,000
    7·1 answer
  • Please help me. And please show your work. Thanks
    12·1 answer
  • HELP !!!!!!! MATHLAB.COM
    11·1 answer
  • Pls add me on ins if you gonna help me with my homework
    6·1 answer
  • Springboard Geometry Chapter 21 Mid-Unit Assessment
    5·1 answer
  • In January 2010, Diana invested $4,500 in an account that paid interest compounded annually. the table showstopper balance of th
    6·1 answer
  • Which brand would Cala need more of to fertilize her 450-foot row of vegetables
    6·1 answer
  • 3/4^2 + 1^2 = x2<br><br> solve for x with work shown! pls help!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!