3.7 Recursive Formulas and Sequences.notebook
October 05, 2011
3.7 RECURSIVE FORMULAS FOR SEQUENCES
3.7 Recursive Formulas and Sequences.notebook
October 05, 2011
THE NOTATION tn‐1 describes=
the previous term! FIND THE FIRST FOUR TERMS IN THE SEQUENCE.
t1=1
6
1
t2=2(___)+4=2(____)+4=______
6
16
t3=2(___)+4=2(____)+4=______
36
16
t4=2(___)+4=2(____)+4=______
3.7 Recursive Formulas and Sequences.notebook
FIND THE FIRST FOUR TERMS IN THE SEQUENCE.
s1= 4
s2= -6
s3= 4
s4= -6
October 05, 2011
3.7 Recursive Formulas and Sequences.notebook
October 05, 2011
What does it mean for a sequence to be arithmetic? WRITE THE RECURSIVE FORMULA FOR THE SEQUENCE
.
1. Find the first term by ____________________________. The first term is______.
2. Find the second term by _________________________. The second term is ____.
To find the constant difference, _________________________________________. The constant difference, d, for this sequence is _________.
21
tn ­ 1+ 3
3.7 Recursive Formulas and Sequences.notebook
October 05, 2011
D: BETSY BORROWED $370 FROM HER PARENTS FOR HER AIRFARE TO EUROPE.
SHE WILL PAY THEM BACK $30 EVERY MONTH.
a. WRITE THE RECURSIVE FORMULA TO DESCRIBE THE SITUATION.
t1 = 370
d = ­ 30
370
tn­1 ­ 30 b. FIND THE FIRST 5 TERMS TO THIS SEQUENCE, WHICH DESCRIBE THE AMOUNT
BETSY OWES HER PARENTS AFTER THE FIRST 5 MONTHS.
t1 = 370
t4 = 280
t2 = 340
t5 = 250
t3 = 310
E: WRITE THE RECURSIVE FORMULA FOR THE SEQUENCE: 53, 46, 39, 32, 25,…
3.7 Recursive Formulas and Sequences.notebook
October 05, 2011
F: IS THE FOLLOWING SEQUENCE: 1, 2, 3, 5, 8, 13, 21, 34
AN ARITHMETIC SEQUENCE? WHY OR WHY NOT?
G: DEBBIE HAS 520 BOOKS IN HER LIBRARY. EACH YEAR
SHE BUYS AN AVERAGE OF 50 NEW BOOKS. WRITE A
RECURSIVE FORMULA THAT DESCRIBES THE SITUATION. FIND
THE FIRST 6 TERMS OF THIS SEQUENCE, DESCRIBING THE
TOTAL NUMBER OF BOOKS SHE HAS IN HER LIBRARY AFTER
EACH YEAR FOR 6 YEARS.
3.7 Recursive Formulas and Sequences.notebook
FIND THE FIRST FOUR TERMS OF THE SEQUENCE
October 05, 2011
3.7 Recursive Formulas and Sequences.notebook
2.
October 05, 2011
WRITE THE RECURSIVE FORMULA FOR THE SEQUENCE
.
IS
2.
NOT?
AN ARITHMETIC SEQUENCE? WHY OR WHY
3.7 Recursive Formulas and Sequences.notebook
October 05, 2011
MR. JEFFERSON HAS A RETIREMENT ACCOUNT.
HE STARTS HIS ACCOUNT WITH $2,000 AND DEPOSITS $400 EACH MONTH.
a. WRITE THE RECURSIVE FORMULA TO DESCRIBE HOW MUCH
HE HAS SAVED AFTER N MONTHS.
b.
HOW MUCH DOES HE HAVE AFTER 5 MONTHS?