Math 10 – Geometric and Other Sequences

Math 10 – Geometric and Other Sequences
Select the letter of the correct answer. Shade the corresponding letter on your answer sheet.

1. It is a sequence where each term after the first is obtained by adding the same constant.
a. Arithmetic Sequence
b. Geometric Sequence
c.  Harmonic Sequence
d. Fibonacci Sequence

2. It is a sequence where it is first two terms are either 1 or 0 and 1; and each term, thereafter, is obtained by adding the two preceding terms.
a. Arithmetic Sequence
b. Geometric Sequence
c. Harmonic Sequence
d. Fibonacci Sequence


3. It is a sequence where each term after the first is obtained by multiplying the preceding term by the same constant.
a. Arithmetic Sequence
b. Geometric Sequence
c. Harmonic Sequence
d. Fibonacci Sequence

4. It is a sequence such that the reciprocals of the terms form an arithmetic sequence.
a. Arithmetic Sequence
b. Geometric Sequence
c. Harmonic Sequence
d. Fibonacci Sequence

5. It is a constant multiplied to each term of a geometric sequence to obtain the next term of the sequence.
a. Common Difference
b. Common Ratio
c. Number of terms
d. Position of terms

 Identify the following sequences whether
A. Arithmetic Sequence,
B. Fibonacci Sequence,
C. Geometric Sequence,
D. Harmonic Sequence, or
E. Neither.

6.    16,13,10,7,…

7.    3,15,75,375,…

8.    0,1,1,2,3,5,…

9.    13,17,21,25,…

10.    3,3/2,1,3/4,…

11.    6,-2,2/3,-2/9,…

12.    1,3,6,15,…

13.   1,2,3,5,8,…

14.   20,19,17,14,10,5,…

15.   1,1/4,1/9,1/14,1/19,…

 Select the letter of the correct answer.

16.  What is the next term of the geometric sequence 1,11,121,1331,…
a.  14 641                                  c. 1 441
c.  123 321                                d. 2 332

17.   What is the sum to infinity of the geometric sequence 1/3,1/9,1/27,1/81,…
a.   1/2                                       c. 1/4
b.   1/3                                       d. 1/5

18.   What is the sum of the first 200 terms of the geometric sequence 10,-10,10,-10,…?
a.  -10                                        c. 10
b.  0                                           d. 1

19.   What is the sum of the first 1001 terms of the geometric sequence 121, -121, 121, -121, …?
a.   0                                           c. 1
b.   121                                       d. -121

20.   Twelve days before Valentine’s Day, Carl decided to give Nicole flowers according to the Fibonacci sequence. On the first day, he sent one red rose, on the second day, two red roses, and so on. How many roses did Nicole receive during the tenth day?
a.  10                                           c. 124
b.  112                                         d. 126