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WorksheetsRecursive Formulas
Total questions: 13
Worksheet time: 53mins
Name
Class
Date
1.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
a1=6
a1=6
b)
an=an-1-4
a1=6
a1=6
c)
an=an-1+9
a1=6
a1=6
d)
an=an-1+6
a1=6
a1=6
2.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
a1=17
a1=17
b)
an = an-1 - 17
a1=17
a1=17
c)
an = an-1 - 15
a1=17
a1=17
d)
an = an-1 - 16
a1=17
a1=17
3.
Find the 4th term for the sequence defined by a1=9; an=an-1+8
a)
35
b)
17
c)
41
d)
33
4.
Write a recursive formula for the following sequence:
16,8, 4, 2,...
a)
a1=16
an=an-1 (2)
b)
a1=16
an=an-1 (1/2)
c)
a1=16
an=an-1 + (1/2)
d)
a1=16
an=an-1 + (2)
5.
Given the sequence: 125, 25, 5, ....
Write the recursive formula
a)
an = (1/5)an-1
b)
an = 5an-1
c)
an = an-1 + 1/5
d)
an = an-1 + 5
6.
Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....
15, 12, 9, 6, 3 ....
a)
u1 = 15
un = un-1 + 3
un = un-1 + 3
b)
u0 = 15
un = un-1 + 3
un = un-1 + 3
c)
u1 = 15
un = un-1 - 3
un = un-1 - 3
d)
u0 = 15
un = un-1 - 3
un = un-1 - 3
7.
Find the next three terms:
5, 8, 11, 14...
5, 8, 11, 14...
a)
16, 19, 22
b)
17, 19, 21
c)
17, 20, 23
d)
16, 18, 20
8.
Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .
6, 4, 2, 0, . . .
a)
an = -2n + 8
b)
a1 =6, an = an - 1 - 2
c)
a1 = 6, an = an-1 + 2
d)
a1 = 6, an = an-1 - 2
9.
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
an = an-1 + 5
a1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
10.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
a1=6
a1=6
b)
an=an-1-4
a1=6
a1=6
c)
an=an-1+9
a1=6
a1=6
d)
an=an-1+6
a1=6
a1=6
11.
Given the sequence 4, 11, 18, 25...... what is a3 ?
a)
4
b)
11
c)
18
d)
25
12.
Determine the 3rd term of the sequence.
a1=5
an= 2an-1 - 1
a)
14
b)
13
c)
17
d)
16
13.
Given the recursive formula below, find the first five terms.
u1 = 3
un = un-1 + 2
where n ≥ 2
u1 = 3
un = un-1 + 2
where n ≥ 2
a)
3, 5, 7, 9, 11
b)
5, 7, 9, 11, 13
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