WorksheetsArithmetic Progression
Total questions: 15
Worksheet time: 18mins
Name
Class
Date
1.
What is the common difference of the Arithmetic Progression: -1, -1, -1, -1, ..........
a)
0
b)
1
c)
2
d)
-1
2.
A list of numbers -10, -6, -2, 2 is _________
a)
an A.P with d = -16
b)
an A.P with d = 4
c)
an A.P with d = -4
d)
Not an A.P
3.
The first four terms of an Arithmetic Progression whose first term is -2 and the common difference is -2 is _____
a)
-2, 0, 2, 4
b)
-2, 4, -8, 16
c)
-2, -4, -6, -8
d)
-2, -4, -9, -16
4.
Which of the following is not an Arithmetic Progression?
a)
1, 4, 7, 10, .....
b)
-5, -2, 1, 4, .....
c)
3, 7, 12, 16, ......
d)
11, 14, 17, 20, .....
5.
Sn = a +......+ Tn
Sn = Tn + ....+ a
how do you calculate Sn
Sn = Tn + ....+ a
how do you calculate Sn
a)
n(a + Tn)
b)
n/2(a + Tn)
6.
Sn = a +......+ Tn
when you substitute Tn with its formula, Sn will be...
when you substitute Tn with its formula, Sn will be...
a)
n[(a + (n-1)d]
b)
n/2[2a + (n-1)d ]
7.
How many terms of the arithmetic series 18 + 15 + 12 +...have to be taken so that it sum is zero.
Which formula can be used
Which formula can be used
a)
Tn
b)
Sn = n/2 [a + Tn]
c)
Sn = n/2 [2a + (n-1)d]
8.
Find the first term of the given sequence:
a14=68
d=3
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
9.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
10.
Create the explicit formula for the sequence:
2, 8, 14, ...
2, 8, 14, ...
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
11.
The next two terms of the sequence
4, 7, 10, 13 are ....
4, 7, 10, 13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
12.
Choose the correct answer from the given four options:
In an AP, if d = –4, n = 7, an = 4, then a is
In an AP, if d = –4, n = 7, an = 4, then a is
a)
6
b)
7
c)
20
d)
28
13.
Choose the correct answer from the given four options:
In an AP, if a = 3.5, d = 0, n =101 ,then an will be
In an AP, if a = 3.5, d = 0, n =101 ,then an will be
a)
0
b)
3.5
c)
-3.5
d)
1
14.
Choose the correct answer from the given four options:
The 21st term of the AP whose first two terms are –3 and 4 is
The 21st term of the AP whose first two terms are –3 and 4 is
a)
17
b)
137
c)
-137
d)
127
15.
If the 2nd term of an AP is 13 and the 5th term is 25, the common difference is
a)
12
b)
4
c)
3
d)
5
100 %
