Test: Geometric Series I - Ambitious

Double click on maths expressions to zoom
Question 1:   Express the term of a geometric progression a 18 through its another term a 12 and its common ratio r .
a 18 = a 12 r 6
a 18 = a 12 ×6r
a 18 = a 12 +6r
a 18 = a 12 × r 6
Question 2:   ( a n ) is a geometric sequence. Put the sign between these two expressions: a 4 × a 21 ?  a 8 × a 17 .
a 4 × a 21 =  a 8 × a 17
a 4 × a 21 <  a 8 × a 17
a 4 × a 21   a 8 × a 17
a 4 × a 21 >  a 8 × a 17
Question 3:   Find the initial term of the geometric sequence ( a n ), if r= 1 2 , a 4 = 1 32 .
1 4
4
1 2
1 8
Question 4:   192 is a term of a geometric sequence: 2 3 , 3, 6, . Find its number.
7
6
5
10
Question 5:   What two numbers should be put between 3 and 192 two create a geometric progression?
12;48
12;48
52;103
66;129
Please note, you have solved only half of the test. For the complete test get a Must Have account. Get started