Answer:
Given series is divergent
Step-by-step explanation:
<u><em>Step(i):-</em></u>
By using Ratio test
a)
'l' is finite then the given ∑aₙ is convergent
b)
Here 'l' is infinite then the ∑aₙ is divergent
<u><em>Step(ii):-</em></u>
Given aₙ =
we know that n ! = n (n-1) (n-2) ......3.2.1
and also (n+1) ! = (n+1)n!
= ∞
<em>Given sum of the series is divergent</em>
Answer:
Manuel is moving with a constant speed and reach his destination at 5 units distance from his house after 3 units of time.
He took rest at his destination for 4 units of time.
Then he reach his house at 5 units distance in 1 unit time.
Step-by-step explanation:
See the graph attached.
Manuel is riding his bike.
As the graph shows that Manuel starts his journey from his house and the time counts starts and then he is moving at a constant speed and reach his destination at 5 units distance from his house after 3 units of time.
The constant speed is units.
Then he took rest at his destination for 4 units of time.
After that, he again starts to move towards his house at a constant speed and reach his house at 5 units distance in 1 unit time.
Therefore, his speed of return is units. (Answer)
Answer:
x≥7
Step-by-step explanation:
6(x-3)/8≥3
Multiply each side by 8/6
8/6*6(x-3)/8≥3*8/6
(x-3)≥4
Add 3 to each side
x-3+3≥4+3
x≥7
Answer:
The formula would be:
27500 x (1 - 14/100)^year = 4000
=> (86/100)^year = 4000/27500
=> 0.86^year = 0.145
=> year = log(0.145)/log(0.86) = 12.8
Hope this helps!
:)