Answer:

Given series is convergence by using Leibnitz's rule
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given series is an alternating series
∑
Let 
By using Leibnitz's rule


Uₙ-Uₙ₋₁ <0
<u><em>Step(ii):-</em></u>


= 

=0

∴ Given series is converges
I think you forgot to attach a pic.
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
Answer:
x=16
Step-by-step explanation:
40x+55=695
subtract 55 from each side
40x=640
divide 640 by 40
x=16