Sequences Flashcards
(8 cards)
1
Q
What is a sequence
A
An order of elements
2
Q
What does a mean
n
A
The nth term in a sequence
3
Q
Diverge means…
A
Elements get larger as the sequence continues. Has no limit
4
Q
Converge means…
A
Elements get smaller as sequence continues (until it reaches zero)
5
Q
What is the convergence test for sequences
A
- Find limit of the nth term as n —> ∞
- If limit exists, the sequence converges to the limit
6
Q
What is the divergence test for sequences
A
- Find limit of the nth term as n —> ∞
- If limit DOES NOT exist, the sequence converges
(∞)
7
Q
What is an alternating sequence
A
A sequence that goes up and down
Oscillates
Can diverge or converge
8
Q
Do trig function sequences sin(x) and cos(x) converge or diverge?
A
Diverge
(But not to infinity)
Value must be between -1 and 1
