Chapter 12

Question 1

Writing a rule for sequences

Answer 1

An= or f(n)=

Question 2

Write the first six terms

Answer 2

Just plug in 1-6 in the equation

Question 3

When writing rules for sequences you have to

Answer 3

Write the rule and the next term

Question 4

Summation notation

Answer 4

Upper limit
Z rule
Lower limit (variable +..)

Question 5

When using summation notation
1+2+3….+9
Means there is or isn’t upper limit

Answer 5

Is!!

Question 6

When using summation notation
1+2+3+4….
Means upper limit or no upper limit

Answer 6

Infinite upper limit (infinity sign)

Question 7

Sum of n upper limit formula

Answer 7

N(n+1)/2

Question 8

Sum of the squares of upper limit n formula

Answer 8

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

Question 9

Arithmetic sequence

Answer 9

The difference between consecutive terms is constant

Question 10

Rule for arithmetic sequence formula

Answer 10

An=a1 + (n-1)d

Question 11

Sum of arithmetic series formula is

Answer 11

Sn= n* (a1+an)/2

Question 12

Geometric sequence

Answer 12

Ratio of term to previous is constant

Question 13

Rule for geometric sequence equation

Answer 13

An= a1*r^(n-1)

Question 14

Sum of finite geometric series equation

Answer 14

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

Question 15

Sum of infinite geometric series equation

Answer 15

S= a1/1-r

Question 16

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

Answer 16

Has no sum

Question 17

How to write a repeating decimal as a fraction

Answer 17

Find a1
Find ratio like .07/.7
Plug in for sum of infinite geometric series (a1/1-r)

Question 18

Difference between series and sequences

Answer 18

Series has + and - between

Sequences have commas

Question 19

When solving arithmetic given two terms a5= a4=

How do you solve

Answer 19

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