Why? Series question easy but dont know what to write.

  • Thread starter Thread starter aisha
  • Start date Start date
  • Tags Tags
    Series
AI Thread Summary
An arithmetic series is defined as the sum of the terms of an arithmetic sequence, which consists of numbers with a constant difference between consecutive terms. The term "series" indicates that it involves summation, while "sequence" refers to the ordered list of numbers. Understanding the distinction between these concepts is crucial for grasping the underlying mathematics. The discussion highlights confusion around the terminology and seeks clarification on how these definitions relate. Overall, the relationship between arithmetic sequences and series is fundamental in mathematics.
aisha
Messages
584
Reaction score
0
Explain why when the terms of an arithmetic sequence are added the result is called an arithmetic series?

I don't know what to write what kind of a question is this? Can someone give me some ideas?
 
Physics news on Phys.org
A series is the running sum of a sequence.

- Warren
 
What are the definitions for both concepts...?:bugeye:

Daniel.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top