Rethabile7729 Rethabile7729
  • 23-10-2019
  • Mathematics
contestada

Consider Akelia’s sequence 5, 8, 11, 14, 17, ….
a. If you believed in patterns, what might you say is the next number in the sequence?

Respuesta :

carlos2112
carlos2112 carlos2112
  • 24-10-2019

Answer:

It would be 20

Step-by-step explanation:

As we can see, the sequence starts from 5 and increases by three each time. In fact, one possible formula for that sequence could be:

[tex]a_n=3n+2\hspace{10}n\in N[/tex]

Let's confirm the formula by evaluating the first 6 terms:

[tex]a_1=3(1)+2=3+2=5\\a_2=3(2)+2=6+2=8\\a_3=3(3)+2=9+2=11\\a_4=3(4)+2=12+2=14\\a_5=3(5)+2=15+2=17\\a_6=3(6)+2=18+2=20[/tex]

Answer Link

Otras preguntas

There are 10 cars in the parking lot some of the cars are red and some of the cars are black how many red cars and how many black cars could be in the parking l
How would I use Bioethics in one sentence.
A runner went from 6 m/s to 2 m/s in 2 seconds, what was the acceleration?
A sample of methane gas of mass 35 g at 250 K and 12.5 atm expands isothermally until its pressure is 1.5 atm. Determine the change in entropy of the gas.
I need some help with this It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property. A) associative B) commutative C) distributive D)
How many moles of oxygen are needed for the complete combustion of 0.750 moles of propane?
if element X has 40 protons will it also have 40 electrons
Executive agreements between presidents and heads of foreign countries are considered
Write a situation that could be represented by the equation y=15x-3
Why did hershey and chase use radioactive substances in their research??