SUMMATIVE TEST G10 MATH

1.) What is the next term in the geometric sequence 324, -108, 36?

• A. 4

• B. -4

• C. -12

• D. 12

2.) Find the common difference in the arithmetic sequence

 $1,\ \frac{6}{4},\ 2,\ \frac{10}{4},\ 3,\ ...$  

• A.    $\frac{1}{4}$  

• B.    $\frac{3}{4}$  

• C.   $\frac{1}{2}$  

• D.   $\frac{3}{2}$  

3.) Which set of numbers is an example of a harmonic sequence?

• A. $2\frac{6}{11},\ 1\frac{13}{15},\ \ 1\frac{9}{19},\ \ 1\frac{5}{23}$

  
  

• B. $\frac{1}{2},\ -1,\ 2,\ -4$

• C. $\frac{1}{3},\ \frac{1}{9},\ \frac{1}{27},\ \frac{1}{81}$

• D. $1,\ \frac{2}{3},\ \frac{2}{5},\ \frac{2}{7}$

4.) What is the sum of all the even integers between 9 and 27?

• A. 144

• B. 162

• C. 170

• D. 180

5.) If three arithmetic means are inserted between -15 and 9, find the first of these arithmetic means.

• A. 3

• B. -3

• C. -6

• D. -9

6.) If three geometric means are inserted between 120 and

 $\frac{15}{2},$  find the third of these geometric means.

• A.  60

• B.  30

• C.  15

• D.  1

7.) What is the next term of the harmonic sequence

 $-\frac{1}{6},\ -\frac{1}{2},\ \frac{1}{2}?$  

• A.       $\frac{1}{3}$  

• B.      $\frac{1}{4}$  

• C.      $\frac{1}{5}$  

• D.      $\frac{1}{6}$  

8.) Which term of the arithmetic sequence 5, 9, 13, 17, ... is 401?

• A. 99th term

• B. 100th term

• C. 111th term

• D. 112th term

9.) What is the 7th term of the geometric sequence

 $10,\ 2,\ \frac{2}{5},\ \frac{2}{25},\ ...?$  

• A.      $\frac{2}{125}$  

• B.      $\frac{2}{625}$  

• C.      $\frac{2}{3125}$  

• D.      $\frac{2}{15\ 625}$  

10.) The first term of an arithmetic sequence is 28 while the 12th term is 105. What is the common difference of the sequence?

• A. 7

• B. 6

• C. 5

• D. 3