WorksheetsGEOMETRIC SEQUENCE
Total questions: 25
Worksheet time: 15mins
What is the common ratio 8, -8, 8, -8, 8,...?
-8
1
-1
8
Which sequence where each term is found by multiplying or dividing the same value from one term to the next.
Arithmetic
Geometric
Fibonacci
Harmonic
Which of the following is an alternating geometric sequence?
3, -4, 5, -6, 7
2, -4, 8, -16
1, 1, 1, 1, 1, 1
1, 5, 25, 125
Find the missing terms -8, -4,_,_,_.
2, -1, -1/2
-2, 2, 4
-2, 0, 2
-3, 0, 3
Find the ratio of this sequence 3, -9, 27, -81,...
-1
-3
-2
-6
An arithmetic sequence is a sequence where every term is obtained by _ a fixed term to/form the previous term.
adding/subtracting
adding/multiplying
adding/dividing
adding
Geometric sequence is a sequence where every term is obtained by _ the previous number by a fixed and non-zero number.
adding
multiplying
subtracting
dividing
Find the missing term 6, 9, 12,_,_,_.
15, 18, 21
11, 14, 17
14, 16, 18
10, 13, 15
This sequence 7, 15, 23, 31,... is a _.
Arithmetic
Geometric
Fibonacci
Harmonic
Find the common ratio of this sequence 5, 10, 20, 40, 80,...
6
2
3
1
In a geometric sequence, each term is obtained by adding a fixed number to the preceding term.
True
False
The general form of a geometric sequence is an=a1 xr (n-1) where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number
True
False
The ratio between any term and its preceding term in a geometric sequence is constant.
True
False
Geometric sequence can have both positive and negative common ratios.
True
False
A geometric sequence can have a common ratio of 1.
True
False
In a geometric sequence, the sum of the first n terms can be calculated using the formula
sn=a1 x (rn-1)/r-1
True
False
If the first term of geometric sequence is 5 and the common ratio is 0.5, the second term is 2.5.
True
False
If the common ratio of geometric sequence is greater than 1, the sequence will be increasing.
True
False
If the common ratio of a geometric sequence is between 0 and 1, the sequence will be decreasing.
True
False
A geometric sequence can have a common ratio of 0.
True
False
The first term of a geometric sequence is _
(a)
The common ratio of a geometric sequence is _.
(a)
The nth term of a geometric sequence is given by the formula_.
(a)
To find the sum of the first n terms of a geometric sequence, we use the formula_.
(a)
A geometric sequence where the absolute value of the common ratio is greater than 1 is.
(a)
