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
morpeh [17]
3 years ago
5

(4,7,12,19) How do you right this in recursive and explicit equations??????? pls help

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

You can see how the difference between two consecutive terms is constantly increasing:

a_1 = 4

a_2 = 7 = 4+3

a_3 = 12 = 7+5

a_4 = 19 = 12+7

So, for the next terms we'll have to add +9, +11, +13 and so on.

Also, note that a_2 is obtained by adding the 2nd odd number to a_1, a_3 is obtained by adding the 3rd odd number to a_2, and so on.

So, the recursive formula is

a_n = a_{n-1}+(2n-1),\quad a_1=1

For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have

a_n = n^2+3

You might be interested in
I really need help with this
ElenaW [278]
Number of boys:
1000/2+20/2=510
Number of girls:
1000/2-20/2=490
510 boys and 490 girls competed at Special Olympics

5 0
4 years ago
I NEED HELP ASAP!!!!
Advocard [28]

Answer:

The y-int. is 4 and the slope is 1/3

Step-by-step explanation:

4 0
3 years ago
Describe the following sequence as arithmetic, geometric or neither.<br> 2, 4, 8, 16, 32. . . .
grigory [225]
That is a geometric sequence.

3 0
3 years ago
Read 2 more answers
HELPPPPPP!!!!!!!!!! ITS DUENSOON PLS
Mice21 [21]
Your answer should be 664.11 hope this helped!
8 0
3 years ago
Read 2 more answers
Which mixed number represents point D?
yuradex [85]

Answer:

1/10

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Refer to the graphic novel frame below. Write and solve an equation to find how many movies they have time to show.
    5·1 answer
  • Please help! Will give brainliest!
    10·1 answer
  • I REALLY NEED HELP FAST 20 POINTS!
    14·2 answers
  • ​ b(1)=−7 b(n)=b(n−1)+12 ​ Find the 4th term in the sequence
    6·2 answers
  • When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her accoun
    14·2 answers
  • The following three shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each
    14·2 answers
  • Simplify.<br><br> 9 + 8 + 3x<br><br> 17 + 3 x<br> 9 + 11 x<br> 20 + x<br> 20 x
    6·2 answers
  • Darius needs to solve 45 math problems for his homework assignment. He already completed 15 of the problems in morning study hal
    14·2 answers
  • How to plot solutions on a number line?
    9·1 answer
  • PLS help with this- you dont NEED to show work but it will give u brainliest lol
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!