mcdomacdards
mcdomacdards mcdomacdards
  • 01-09-2020
  • Mathematics
contestada

the first term of an arithmetic sequence is equal to 200 and the common differencence is equal to -10. find the value of the 20th term​

Respuesta :

CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 01-09-2020

Answer:

The value for 20th term is 10.

Step-by-step explanation:

First, you have to find the formula for the sequence.

[tex]an = a + d(n - 1)[/tex]

[tex]let \: a = 200,d = - 10[/tex]

[tex]an = 200 - 10(n - 1)[/tex]

[tex]an = 200 - 10n + 10[/tex]

[tex]an = - 10n + 210[/tex]

Given that the formula of this sequence is an = -10n + 210. Next, you have to find 20th term :

[tex]let \:n = 20[/tex]

[tex]20th \: term = - 10(20) + 210[/tex]

[tex]20th \: term = - 200 + 210[/tex]

[tex]20th \: term = 10[/tex]

(Correct me if I am wrong)

Ver imagen CHERLYNnotCHERRY
Answer Link

Otras preguntas

The area of a square is 12 more than its perimeter. find the length of a side and its perimeter.
(21)(-4)(3)(1 over 5)(5) 1 over 5 is a fraction
Evaluate: 9 – |–9| i do not get it i need help
Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the number of glasses of iced tea and y r
About how much alcohol can the average person metabolize, or break down, in an hour?4 beers1 beer6 beers2 beers
Which of the following is not a function of local enforcement agencies
A homeowner wants to carpet three rooms that measure 12 feet by 12 feet, 10 feet by 14 feet, and 21 feet by 20 feet. how many square yards of carpet should be o
Which is a physical sign of stress
I need help on factoring polynomials.x^2- 2x - 24
What is the area of this shape?