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Topic 3.4: Explicit Formulas

Total questions: 10

Worksheet time: 22mins

Name
Class
Date
1.

What is the common difference of the arithmetic sequence 18,24,30,36, ...?

(a)  

2.

It is the number to be added to generate the next term in an arithmetic sequence.

a)

common difference

b)

first term

c)

last term

d)

number of terms

3.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
4.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
5.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
6.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
7.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
8.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
9.
Given the sequence below, write the explicit formula.
3, 8, 13, 18 ... 
a)
un = 3 + 5n
b)
u= -2 + 5n
10.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n