Sequences flashcards
24 practice cards drawn from the Sequences lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Sequences lessons in full →
8, 17, 26, 35, … what comes next?
44
from “Term-to-Term Rules”
4, 9, 14, 19, … what comes next?
24
from “Term-to-Term Rules”
2, 8, 14, 20, … what is the nth term?
6n − 4
from “The nth Term”
7, 16, 25, 34, … what is the nth term?
9n − 2
from “The nth Term”
1, 1, 2, 3, 5, 8, 13, … what comes next?
21
from “Sequences Worth Knowing”
1, 1, 2, 3, 5, 8, … what comes next?
13
from “Sequences Worth Knowing”
2, 6, 12, 20, … the coefficient is…?
1
from “Quadratic Sequences”
3, 8, 15, 24, … what comes next?
35
from “Quadratic Sequences”
2, 6, 18, 54, … what comes next?
162
from “Geometric Sequences”
2, 4, 8, … — what is term 6?
64
from “Geometric Sequences”
Work out
20
from “Sigma Notation”
Work out
30
from “Sigma Notation”
Folding 1 + 2 + … + 10 works because…
ends paired inward all make the same total
from “The Sum of an Arithmetic Series”
2 + 4 + 6 + … + 20 has 10 terms. What is its sum?
110
from “The Sum of an Arithmetic Series”
What is 1 + 3 + 9?
13
from “The Sum of a Geometric Series”
What is 4 + 12 + 36?
52
from “The Sum of a Geometric Series”
First term 12, ratio . What is ?
16
from “The Sum to Infinity”
A geometric series has a sum to infinity when…
its ratio sits strictly between −1 and 1
from “The Sum to Infinity”
The rule "each term is the one before plus 4" cannot start without…
the first term
from “Recurrence Relations”
, and each term is the one before plus 5. What is ?
12
from “Recurrence Relations”
What is 1 + 2 + … + 12?
78
from “Proof by Induction: Summing 1 to n”
What is 1 + 2 + … + 18?
171
from “Proof by Induction: Summing 1 to n”
How does this differ from proving a summation formula?
the step compares consecutive cases
from “Proof by Induction: Divisibility”
For , what is f(k + 1) − f(k)?
from “Proof by Induction: Divisibility”