C9LI Notes
Arithmetic Se uences
Find the missing number(s) of the arithmetic sequence.
1.
i'`.',.' ``'
5,I
T#€
rfN
06CREf}`S(N£
i.\f u-ir}t,#Frtyff I;:=z
r=rs,..; }iL=
2. 4.2,
I {f iG
39, 35, 31
5.J,6.2,,6.J
•' :.`
r\jLj.jf^]\ff ;;p:;7,,I.€=3
;;::¥u[ff
:){t5
E=#rho#
F;ft+r;
, NC¢Cfts,f ljG
I !ff`§*'Fgiv
State the next fraction in the sequence. Simplify if
3. :,:,=,:,.
i I. I.
/()
,10
)
1173
9273
20 , 5 , 20 ,10 , -.
lD,,
6. =,=,;,:,
j
¢J
\y
< ff ) :Sf!£ A
;='\
:
,
uJr-
`
1£+±`
`A
-^-`
:f`-:a
i
,frf ;I i
`
`
i:`ng;
*'
.-,.--
givck
Formula for an arithmetic sequence: an = ai + (n - 1)(d)
an = value of the nth term
ai = initial term
n = numbered position of the term in the sequence
d = common difference
Write an expression to describe the sequence below. Use n to represent
the position of a term in the sequence, where n = 1 for the first term.
7. 6,15, 24, 33 ,...
8. 7,11,15,19 ,...
&+(a-!\(q)
r7 + (a+)(¥)
9. -41, -39, -37, -35 ,...
10.
-9, -18, -27, -36 ,...
-q+ti^}j)t:£1`)
-yI+(n-I,it(2)
11. Write an expression to describe the sequence below, and then find the
8th term. Use n to represent the position of a term in the sequence, where
n = 1 for the first term.
18,19, 20, 21 ,...
ExfJ ,,
I .{i + ii:Tat(--l``)fcolJ
Ei,.i.hE-
12. Write an expression to describe the sequence below, and then find the
59th term. Use n to represent the position of a term in the sequence,
where n = 1 for the first term.
l#.if.i:;
-3£+ lM-I)t-3)
-32, -35, -38, -41 ,...
-,, :f i +
i . J. `-i
13. Write an expression to describe the sequence below, and then find the
98th term. Use n to represent the position of a term in the sequence,
where n = 1 for the first term.
-63, -126, -189, -252 ,...
EKpfb*ed+(n+)(-b3)
qSS'/-t3+@{+SRTJ{3tiue3)
-bl7L/
14. Write an expression to describe the sequence below, and then find the
27th term. Use n to represent the position of a term in the sequence,
where n = 1 for the first term.
ff #p ;
3' 6' 9, 12 ,...
.:
£ + i`fl.ife !\ff:prae± )
-.i-
_-.:.--
!`-'.
15. Find the llth term of the arithmetic sequence represented by the
equation: an = 12 + (n -1)(5)
o_" . !3 + (li-!\,(€i)
•!kH
I
t£
16. Find the common difference of the arithmetic sequence represented
by the equation: an = 42 + (n -1)(-3)
cj -= - 3
17. Find the common difference of the arithmetic sequence:
8,15, 22, 29 ,...
18. Find the 85th term of the arithmetic sequence:
-4, -21, -38,155 ,...
an -- -if +
a--b5 I -q+
°\-.Ir5 ~
~jif mf fuk`