Worksheetswriting a recursive formula for geometric sequence
Total questions: 12
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
Determine the first 3 terms of the following sequence.
t1= -3
tn=tn-1(3)
a)
-3, 9, 27
b)
-3, -9, -27
c)
-3, -6, -9
d)
-3, 6,9
2.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
3.
Which formula is used to find the recursive equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
4.
Which sequence is represented by the equation 2(7)n-1 ?
a)
7, 14, 28, 56...
b)
2, 14, 98, 686...
c)
2, 9, 16, 23...
d)
7,9,11,13...
5.
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)
6.
Which recursive formula best describes the sequence
2, -6, 18, - 54...
2, -6, 18, - 54...
a)
an=an-1* -4, a1 = 2
b)
an=an-1* - 8, a1 =2
c)
an=an-1* 2, a1 = -3
d)
an=an-1* -3, a1 =2
7.
What is the recursive rule for the sequence:
2, 6, 18, 54...
2, 6, 18, 54...
a)
f(3), f(n)=f(n-1)2
b)
f(2), f(n)=f(n-1)4
c)
f(1)=3, f(n)=f(n-1)2
d)
f(1)=2, f(n)=f(n-1)3
8.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
9.
What does a1 represent?
a)
Any term
b)
First term
c)
Last term
10.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
11.
Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?
a)
an = an-1 x 3
b)
an = 5(3)n-1
c)
an = 3(5)n-1
d)
an = 5 + (n-1)3
12.
What is the 14th term of the following geometric sequence:
3, 9, 27, 81, ...
a)
14,348,907
b)
4,782,969
c)
1,594,323
d)
45
100 %
