Name:__________________________
#1)Whatisthecommondifferenceofthearithmetic
sequence5,8,11,14,...?
#3)Whatistheninthtermofthissequence?
#5)
#7) Write the first 5 terms of the sequence described
below with recursive equations:
#9) If a sequence is defined recursively by f(0) = 2 and
f(n+1) = -2f(n) + 3 for n≥0, then f(2) is equal to
(1) 1
(2) -11
(3) 21
(4) 43
12-ExtraPractice
#2)Whatisthecommonratioofthegeometric
sequence-2,4,-8,16,...?
#4)Whatistheseventhtermofthissequence?
#6) Identify each sequence as arithmetic or geometric.
Explain your answer, and write an explicit formula for
the sequence.
a) 7, 16, 25, 34, …
b) 36, 12, 4, …
#8) What is the seventh term of this sequence?
#10)
#11) Given the sequence: {10, 2, -6, -14, . . . }
#12) Given the sequence:
a) Write an explicit formula for this sequence.
a) Write an explicit formula for this sequence.
b) Write a recursive formula for this sequence.
b) Write a recursive formula for this sequence.
#13)
#14) If
#15) Find the common difference in the arithmetic
sequence whose 1st term is 4 and whose 11th term is 64.
#16) The third term in an arithmetic sequence is 10 and
the fifth term is 26. If the first term is a1, which is the
equation for the nth term of this sequenec?
(1) an = 8n + 10
(2) an = 8n - 14
(3) an = 16n + 10
(4) an = 16n -38
Determine the recursive formula for the sequence.
#17)
#18)
,, then f(5)=