The objective is to state why the value of
converging alternating seies with terms that are non increasing in magnitude
lie between any two consecutive terms of partial sums.
Let alternating series
<span>Sn = partial sum of the series up to n terms</span>
{S2k} = sequence of partial sum of even terms
{S2k+1} = sequence of partial sum of odd terms
As the magnitude of the terms in the
alternating series are non-increasing in magnitude, sequence {S2k} is bounded
above by S1 and sequence {S2k+1} is bounded by S2. So, l lies between S1 and
S2.
In the similar war, if first two terms of the
series are deleted, then l lies in between S3 and S4 and so on.
Hence, the value of converging alternating
series with terms that are non-increasing in magnitude lies between any two
consecutive terms of partial sums. So, the remainder Rn = S – Sn alternating
sign
<span> </span>
It’s 1/2 because every time the x variable goes up 1, the y variable goes up 2
|-6 + 2|
|-4|
4
Hope this helps!
Answer:
199.75km
Step-by-step explanation:
Step one:
given data
We are told that the time of travel is from
8:36- to 10:57
which is 2 hours 21 minutes
Hence the time taken is 2.35 hours
the speed is 85km/h
Step two:
From the expression
speed= distance/time
85= distance/2.35
distance= 85*2.35
distance= 199.75km
