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Recursive Formulas 1

Total questions: 6

Worksheet time: 30mins

Name
Class
Date
1.
Given the recursive formula, find the first four terms:
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
2.

Determine the 3rd term of the sequence.

a1=5

an= 2an-1 - 1

a)

14

b)

13

c)

17

d)

16

3.
Given the recursive formula below, find the first five terms.  
u1 = 3
un = un-1 + 2
where n ≥ 2
a)
3, 5, 7, 9, 11
b)
5, 7, 9, 11, 13
4.

Which of the following recursive formulas represents the given sequence.


4, 12, 20, 28, 36, ...

a)

a1=4a_1=4 , an=a(n1)3a_n=a_{\left(n-1\right)}\cdot3

b)

a1=4a_1=4 , an=a(n1)+8a_n=a_{\left(n-1\right)}+8

c)

a1=4a_1=4 , an=a(n1)8a_n=a_{\left(n-1\right)}-8

d)

a_1=4 , an=a(n1)9a_n=a_{\left(n-1\right)}\cdot9

5.

Find the first four terms of the sequence.

an= a(n-1) - 18 where a1=10

a)

18, 8, -2, -12

b)

28, 46, 64, 82

c)

-8, -26, -44, -60

d)

10, -8, -26, -44

6.

Find the first four terms of the sequence.

an= 2a(n-1) + n where a1= 0

a)

0, 0, 0, 0

b)

0, 1, 4, 12

c)

0, 1, 2, 4

d)

0, 2, 4, 8