Chapter 12 Flashcards Preview

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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

When solving arithmetic given two terms a5= a4=
How do you solve

Subtract when put in full equation
Solve for d
Plug back in to find a1