jessicannoh4763 jessicannoh4763
  • 23-10-2019
  • Mathematics
contestada

Consider a sequence that follows a minus 5 pattern: 30, 25, 20, 15, ….
b. Using the formula, find the 20th term of the sequence.

Respuesta :

carlos2112
carlos2112 carlos2112
  • 24-10-2019

Answer:

[tex]a_2_0=-65[/tex]

Step-by-step explanation:

As we can see, the sequence starts from 30 and decreases by 5 each time. So, one possible formula for that sequence could be:

[tex]a_n=35-5n\hspace{10}n\in N[/tex]

Let's confirm the formula by evaluating the first 4 terms:

[tex]a_1=35-5(1)=35-5=35\\a_2=35-5(2)=35-10=25\\a_3=35-5(3)=35-15=20\\a_4=35-5(4)=35-20=15[/tex]

Finally evaluating n=20:

[tex]a_2_0=35-5(20)=35-100=-65[/tex]

Answer Link

Otras preguntas

WHAT IS BUNRAKU AND WHO INVENTED IT?
A Ratio of the number of girls to the number of boys in band is 10 to 9. There are 50 girls in band. How many boys are in band? (helpppp meee)​
Help me now please please
In which regions can the gravitational field strength due to the two planets be zero? Explain. A. None B. A, B and C C. A and C D. B
How many moles of AgNO3 must react to form 0.854 mol Ag? mol AgNO3
Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b. (Remember that all the way around a circle is
P l e a s e h e l p m e write an Explanation for why Sun spots occur
The Law of Conservation states that energy ____ be created of destroyed, but ___
A relation contains the points (2,3), (3,0), (4,1), (5,2), (5,0). Which statement accurately describes this relation
Write an equation to represent the hanger.Explain how to reason to find the value of x.​