3.1 - Sequences -older Flashcards

1
Q

I can generate terms of a sequence if I know an adding pattern from one term to another

For example, I can list the terms of a sequence where each number is 10 bigger than the previous:

A

10, 20, 30, 40, 50, …

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

I can generate terms of a sequence if I know a multiplying pattern from one term to another

For example, I can list the terms of a sequence where each number is 2 times bigger than the previous:

A

1, 2, 4, 8, 16, …

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

I can generate terms of a sequence if I know an adding expression for the nth term in the sequence.

For example, if the nth term of a sequence is n + 2, then the first five terms are…

A

2, 3, 4, 5, 6, …, n + 2(The sequence goes up in ones, offset by 2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

I can generate terms of a sequence if I know an multiplying expression for the nth term in the sequence.

For example, if the nth term of a sequence is 2n + 2, then the first five terms are…

A

4, 6, 8, 10, 12, …, 2n + 2(The sequence goes up in twos, offset by 2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

I can find subsequent terms of an integer sequence

For example, 5, 9, 13, 17, …

A

21

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

I can find subsequent terms of an integer sequence

For example, 1, 2, 4, 8, …

A

16

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

I can work out a rule for generating the next number in a sequence.

For example, 5, 9, 13, 17, …

A

add 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

I can work out a rule for generating the next number in a sequence.

For example, 1, 2, 4, 8, …

A

multiply by 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

I can work out an expression for the _n_th term of an arithmetic sequence

For example, 5, 9, 13, 17, …

A

n_th term is _4n + 1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

I can work out the common difference (d) and first term (a) for an arithmetic sequence

For example, 2nd term is 7, 5th term is 19, what is the common difference (d) and first term (a)?

A

x, 7, x, x, 19

common difference must be 4 first term must be 3

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Given the common difference (d) and first term (a), I can know the _n_th term of an arithmetic sequence

For example, if the common difference is 4, and the first term of a sequence is 3, what is the _n_th term?

A

3 + 4(n-1)= 4n - 1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Given the _n_th term of an arithmetic sequence, I know what the common difference and first term are

For example, if the n_th term of a sequence is _4n + 1, what are the common difference and first term?

A

4n + 1= 1 + 4n= 1 + 4(n - 1 + 1)= 1 + 4(n - 1) + 4= 5 + 4(n - 1)

First term is 5, common difference is 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Given an arithmetic sequence, I can sum the first n terms of it.

For example, given 4 + 7 + 10 + 13 + … find the sum of the first 5 terms.

A
  • First term is 4
  • Common difference is 3
  • 50th term is 4 + 3 * (5 - 1) = 16
  • sum of first 50 terms is 5/2 * (4 + 16) = 50
How well did you know this?
1
Not at all
2
3
4
5
Perfectly