An alternating series
converges if
is monotonic and
as
. Here
.
Let
. Then
, which is positive for all
, so
is monotonically increasing for
. This would mean
must be a monotonically decreasing sequence over the same interval, and so must
.
Because
is monotonically increasing, but will still always be positive, it follows that
as
.
So,
converges.
To solve for how many miles Rachel jogged if she jogged a 1/4 mile trail 8 times, we simply need to multiply the distance she ran each time by the amount of times she ran it.
1/4 * 8 = 2
Rachel jogged 2 miles.
Hope that helped =)
Answer:
D) 130 workers
Step-by-step explanation:
We have the equation, <em>y = 2x + 40</em>, and <em>y, 300</em> (since the y-coordinate represents the # of bottles made), so we can solve for x, <em>the number of workers needed</em>.
Substitute: <em>300 = 2x + 40</em>
Subtract: <em>260 = 2x</em>
Divide: <em>x = 130</em>
Since x = 130 when y = 300, 130 workers are required to make 300 bottles in a day.
8n+16
the four odd numbers are 2n+1, 2n+3, 2n+5, 2n+7
2n+1+2n+3+2n+5+2n+7=8n+16
Answer to your Question:
- The Minimum Value will be 0
and
- The Maximum Value will be 30
Other Answers to This Quiz Include:
"What will be the y-intercept in Hayato's Graph"
Answer: 30
"How will he label the first four tick marks on the X-Axis?"
Answer: 0.375, 0.75, 1.125, 1.5
"Which Graph is the first cycle of Hayato's Graph?"
Answer: Picture Below.
"At Which Time could the clown have dropped the bowling Pins?"
Answer: 3.75 s
