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Quiz

Lesson 2 Questions: Geometric Sequences, Series and Applications — Lesson quiz

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  • Questions count: 12
  • Passing grade: 60%
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1.
The 7th term of the geometric sequence 2, 6, 18, … is:
1,458
162
486
729
2.
If x − 1, x + 2 and 3x are consecutive terms of a geometric sequence, the positive value of x is:
2
3
4
6
3.
The sum to infinity of the geometric series 16 + 8 + 4 + 2 + … is:
24
32
30
64
4.
The positive geometric mean of 4 and 9 is:
6.5
13
36
6
5.
The common ratio of the sequence 5, −10, 20, −40, … is:
−2
2
−1/2
−5
6.
The sum of the first 5 terms of the sequence 1, 2, 4, … is:
15
32
31
62
7.
The sum to infinity of the series 1 − 1/2 + 1/4 − 1/8 + … is:
1
2/3
1/2
3/2
8.
How many terms does the geometric sequence 3, 6, 12, …, 96 have?
5
7
8
6
9.
The sum of the four geometric means inserted between 3 and 96 is:
90
84
96
126
10.
A rubber ball dropped from 18 m rebounds to 2/3 of its previous height after each bounce. The total distance before it stops is:
72 m
54 m
90 m
108 m
11.
In a geometric sequence with positive terms, T₃ = 12 and T₆ = 96. The sum of its first 8 terms is:
255
765
1,530
192
12.
The recurring decimal 0.363636… written as a fraction in simplest form is:
4/9
9/25
3/8
4/11
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