Flashcards in Chapter 12 Deck (19):

1

## Writing a rule for sequences

### An= or f(n)=

2

## Write the first six terms

### Just plug in 1-6 in the equation

3

## When writing rules for sequences you have to

### Write the rule and the next term

4

## Summation notation

###
Upper limit

Z rule

Lower limit (variable +..)

5

##
When using summation notation

1+2+3....+9

Means there is or isn't upper limit

### Is!!

6

##
When using summation notation

1+2+3+4....

Means upper limit or no upper limit

### Infinite upper limit (infinity sign)

7

## Sum of n upper limit formula

### N(n+1)/2

8

## Sum of the squares of upper limit n formula

### N(n+1)(2n+1)/6

9

## Arithmetic sequence

### The difference between consecutive terms is constant

10

## Rule for arithmetic sequence formula

### An=a1 + (n-1)d

11

## Sum of arithmetic series formula is

### Sn= n* (a1+an)/2

12

## Geometric sequence

### Ratio of term to previous is constant

13

## Rule for geometric sequence equation

### An= a1*r^(n-1)

14

## Sum of finite geometric series equation

### Sn= a1*(1-r^n/1-r)

15

## Sum of infinite geometric series equation

### S= a1/1-r

16

## If r<1 or r >_1 then the geometric series

### Has no sum

17

## How to write a repeating decimal as a fraction

###
Find a1

Find ratio like .07/.7

Plug in for sum of infinite geometric series (a1/1-r)

18

## Difference between series and sequences

###
Series has + and - between

Sequences have commas

19