Determine whether the sequence converges or diverges. If it converges, give the limit.

1 answer:

3 0

This is a geometric progression, with ratio $\frac{1}{6}$ . The terms will get smaller and smaller, but will remain strictly positive. It does converge to 0.

You might be interested in

Mrs.Fernandez must drive 6 1/9 miles to work every day. How many miles will Mrs.Fernandez have driven after 12 days of work?

Serjik [45]

Well since we know that for one day Mrs. Fernandez drives 6 and 1/9 miles to work what could we do to get 12 days of work driven.
all we have to do here is multiply 12 and 6 and 1/9 :) lets set this up
1 1 12
6 ---- x 12 or lets set this up like this 6 ---- x -----
9 9 1

but lets change that whole fraction into an improper fraction
1
6 ---- so all we do is multiply 6 x 9 and add the 1 so lets try that
9
6 x 9 = 54
54 +1 = 55
hey look we have our numerator!! ( the top number)
and our bottom number would stay the same as 9 so lets try this again:)
55
----- now lets plug it in to our problem
9

55 12
----- x -----
9 1

now lets just multiply across

55 12 = 55 x 12 = 660
----- x -----
<span> 9 1 = 9 x 1 = 9
</span>
so now our fraction look like this
660
-------
9
but lets make it not look so confusing and divide 660 by 9
660/9 = 73.33333333
again it still looks confusing but we can round it out to beeeee
73
so this means that for 12 days Mrs. Fernandez drove 73 miles!
hope this isnt confusing;)
have a good one and mark me brainliest!

3 0

4 years ago

Miley has $40 in her savings account. She plans to save $25 per week from now on. Select the equation that models the total amou

Semmy [17]

A. S = 25w + 40

Because 25 x w = how much she saved

Then + 40 = how much she will have after saving up

5 0

3 years ago

Tariq is comparing the prices of various packages of golf tees at a sporting goods store. He finds a package of 8 golf tees that

Alenkasestr [34]

Answer:

$0.25

Step-by-step explanation:

To find unit rate divide number of shirts by cost of package

$2.00/8 = $0.25

So each individual golf tee costs $0.25

3 0

3 years ago

Joe traveled 2,450 miles in 43.5 hours. What was his average miles per hour?

Greeley [361]

Answer:

56.32 Miles per hour

Step-by-step explanation:

Take the total distance travel (2450) and divide that by the time (43.5) to get the mph. Hope this helps!

4 0

4 years ago

This rectangle represents the base of a rectangular prism. The height of the rectangular prism is 56 m. What is the volume of th

MaRussiya [10]

Answer:

29,400

i had it on a test

Step-by-step explanation:

8 0

3 years ago