Question

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​

Answer 1

Answer:

The value for 20th term is 10.

Step-by-step explanation:

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

$an = a + d(n - 1)$

$let \: a = 200,d = - 10$

$an = 200 - 10(n - 1)$

$an = 200 - 10n + 10$

$an = - 10n + 210$

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

$let \:n = 20$

$20th \: term = - 10(20) + 210$

$20th \: term = - 200 + 210$

$20th \: term = 10$

(Correct me if I am wrong)