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Worksheets

Recursive Formulas

Total questions: 15

Worksheet time: 24mins

Name
Class
Date
1.

Which of the following recursive formulas represents the given sequence?

7, 14, 28, 56, 112, ...

a)

a1=7a_1=7 an=a(n1)+7a_n=a_{\left(n-1\right)}+7

b)

a1=7a_1=7 an=a(n1)7a_n=a_{\left(n-1\right)}\cdot7

c)

a1=7a_1=7 an=a(n1)2a_n=a_{\left(n-1\right)}\cdot2

d)

a1=7a_1=7 an=a(n1)+14a_n=a_{\left(n-1\right)}+14

2.

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)

3.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
a1=6
b)
an=an-1-4
a1=6
c)
an=an-1+9
a1=6
d)
an=an-1+6
a1=6
4.
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
5.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
b)
an = an-1 - 17
c)
an = an-1 - 15
d)
an = an-1 - 16
6.

the first term

el primer término

पहला कार्यकाल

a)

a1

b)

an-1

c)

an

7.

the previous term

el término anterior

पिछला कार्यकाल

a)

a1

b)

an-1

c)

an

8.

the term you are looking for

el término que buscas

आप जिस शब्द की तलाश कर रहे हैं

a)

a1

b)

an-1

c)

an

9.

formula that uses the previous term (term before) to find the next term

fórmula que usa el término anterior para encontrar el siguiente término

वह सूत्र जो अगले पद को ज्ञात करने के लिए पिछले पद का उपयोग करता है

a)

recursive formula

b)

explicit formula

10.

Given the recursive formula below, find the first five terms.

a1 = 3

an = an-1 + 2

a)

3, 5, 7, 9, 11

b)

5, 7, 9, 11, 13

c)

2, 5, 8, 11, 14

d)

1, 3, 5, 7, 9

11.

Given the recursive formula below, write the first three terms.

a1 = 4

an = an-1 + 5

a)

4, 20, 80

b)

4, 9, 14

c)

4, 13, 31

d)

5, 9, 13

12.

What is the first term of the sequence?

a1 = 3

an = an-1 + 2

(a)  

13.

What is the common difference of the sequence?

a1 = 3

an = an-1 + 2

(a)  

14.

What is the first term of the sequence?

a1 = 4

an = an-1 + 5

(a)  

15.

What is the common difference of the sequence?

a1 = 4

an = an-1 + 5

(a)