Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess then zero

Sagot :

Answer:  -10 and -40

===============================================================

Explanation:

a = 200 = first term

d = -30 = common difference

Tn = nth term

Tn = a + d(n-1)

Tn = 200 + (-30)(n-1)

Tn = 200 - 30n + 30

Tn = -30n + 230

Set Tn less than 0 and isolate n

Tn < 0

-30n + 230 < 0

230 < 30n

30n > 230

n > 230/30

n > 7.667 approximately

Rounding up to the nearest whole number gets us [tex]n \ge 8[/tex]

So Tn starts to turn negative when n = 8

We can see that,

Tn = -30n + 230

T7 = -30*7 + 230

T7 = 20

and

Tn = -30n + 230

T8 = -30*8 + 230

T8 = -10 is the 8th term

and lastly

Tn = -30n + 230

T9 = -30*9 + 230

T9 = -40 is the ninth term

Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.

jcherry99

Answer:

- 10

- 40

Step-by-step explanation:

By the 7th term you should be pretty close to 0. Let's show that.

a1 = 200

n = 7

d = - 30

t7 = a1 + (n - 1)*d

t7 = 200 + (7 -1)*-30

t7 = 200 + 6*-30

t7 = 200 - 180

t7 = 20

This is the last term that is positive. when you take 30 away from t7 you are going to be in negative territory.

t8 = 200 + (8-1) * - 30

t8 = 200 + 7 * - 30

t8 = 200 - 210

t8 = - 10

Now the 9th term

t9 = 200 + (9 - 1)*-30

t9 = 200 + 8 * - 30

t9 = 200 - 240

t9 = - 40

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.