Math 10 First Quarter Summative Test (10 - WISDOM)

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. $2,\ \frac{2}{3},\ \frac{2}{5},\ \frac{2}{7}$

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. What is the sum of all the odd integers between 8 and 26?

• A. 153

• B. 172

• C. 190

• D. 198

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.  $\frac{1}{6}$  

• D.  $1$  

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

• A. 99^th term

• B. 100^th term

• C. 111^th term

• D. 112^th term

9. What is the 7th term 0f the geometric sequence $10,\ 2,\ \frac{2}{5},\ \frac{2}{25},\ ...?$  

• A.  $\frac{2}{125}$  

• B.  $\frac{2}{625}$  

• C.  $\frac{2}{3125}$  

• D.  $\frac{2}{15625}$  

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

• A. 7

• B. 6

• C. 5

• D. 3