AzaiZ108367 AzaiZ108367
  • 25-10-2022
  • Mathematics
contestada

What is the sequence that has a recursive formula A(n)= A(n-1)+4 where A(1)=3

Respuesta :

AisleyL28715 AisleyL28715
  • 25-10-2022
[tex](3,7,11,15,\ldots)[/tex]

1) Considering that, let's find each term:

[tex]\begin{gathered} a_1=3 \\ a_n=a_{n-1}+4 \\ a_2=a_1+4\Rightarrow a_2=3+4=7 \\ a_3=a_2+4\Rightarrow a_3=7+4\text{ =11} \\ a_4=11+4\text{ }\Rightarrow a_4=15 \end{gathered}[/tex]

2) So the sequence is

[tex](3,7,11,15,\ldots)[/tex]

As each term, from the 2nd one is 4 units more that's why we can make it using a recursive formula

Answer Link

Otras preguntas

How can you use all 2,3,5,8 to equal 104
Each person, regardless of age or backgrounds, have the right to krump. How should the sentence above be rewritten to correct the subject-verb agreement error?
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 square feet. The width of the basement is 2/3 its length. What is t
A group of environmentalists were discussing the benefits and drawbacks associated with using fossil fuels. Which argument best fits the conversation?
PLZZZZZ HELP HURRY what guarantee gives accused individuals the rights to a hearing before being in jail A. bounties B. greenbacks C. draft D. habeas corpus
which is greater 3 tons or 3,000 pounds
Do the project 'A Gallery of Compositions' and write about your vision of art's role in modern society. Follow the instructions below.
if 8=56 7 =42 6=30 5=20 what does 3=
describe two big changes the gold rush caused in California
When can a parallelogram also be kite