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  • 01-09-2020
  • Mathematics
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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​

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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)

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