Practice Test
Chapter
Chapter 7
Section
Practice Test
Solutions 19 Videos
• i) Determine the first five terms of each sequence, where n \in N
• ii) Determine whether each sequence is arithmetic, geometric, or neither.

t_n=5\times 3^{n+1}

1.27mins
Q1a
• i) Determine the first five terms of each sequence, where n \epsilon N
• ii) Determine whether each sequence is arithmetic, geometric, or neither.

t_n=\displaystyle{\frac{3n+2}{2n+1}}

1.47mins
Q1b
• i) Determine the first five terms of each sequence, where n \epsilon N
• ii) Determine whether each sequence is arithmetic, geometric, or neither.

t_n=5n

0.20mins
Q1c
• i) Determine the first five terms of each sequence, where n \epsilon N
• ii) Determine whether each sequence is arithmetic, geometric, or neither.

t_1=5,t_n=7t_{n-1}, where  n>1

0.44mins
Q1d
• i) Determine the first five terms of each sequence, where n \epsilon N
• ii) Determine whether each sequence is arithmetic, geometric, or neither.

t_1=19,t_n=1-t_{n-1}, where n>1

1.18mins
Q1e
• i) Determine the first five terms of each sequence, where n \epsilon N
• ii) Determine whether each sequence is arithmetic, geometric, or neither.

t_1=7,t_2=13,t_n=2t_{n-2} , where n>2

1.17mins
Q1f

For each sequence, determine

• i) the general term
• ii) the recursive formula

a geometric sequence with a=-9 and r=-11

0.29mins
Q2a

For each sequence, determine

• i) the general term
• ii) the recursive formula

an arithmetic sequence with second term 123 and third term -456

1.33mins
Q2b

Determine the number of terms in each sequence.

 \displaystyle 18, 25, 32, ..., 193 

0.43mins
Q3a

Determine the number of terms in each sequence.

 \displaystyle 2. -10, 50, ..., -156 250 

1.09mins
Q3b

Expand and simplify each binomial power.

(x-5)^4

0.35mins
Q4a

Expand and simplify each binomial power.

(2x+3y)^3

0.51mins
Q4b

Calculate the sum of each series.

 \displaystyle 19 + 33 + 47 +...+ 439 

1.19mins
Q5a

Calculate the sum of each series.

the first 10 terms of the series 10000 + 12000 + 14400 + ...

0.53mins
Q5b

A sequence is defined by the recursive formula t_1=4, t_2=5, t_n=\frac{t_{n-1}+1}{t_{n-2}} , where n \epsilon N and n>2. Determine t_{123}. Explain your reasoning.

2.27mins
Q6

Your grandparents put aside \$100 for you on your first birthday. Every following year, they put away \$75 more than they did the previous year. How much money will have been put aside by the time you are 21?

1.47mins
Q7

Determine the next three terms of each sequence.

 \displaystyle 1,7,8,15,23,38,... 

0.48mins
Q8a

Determine the next three terms of each sequence.

 \displaystyle p^2 + 2q, p^3 - 3q, p^4 +4q, p^5 -5q, ... 

0.35mins
Q8b

Determine the next three terms of each sequence.

\displaystyle{\frac{25}{3}}, \displaystyle{\frac{19}{6}}, \displaystyle{\frac{13}{9}}, \displaystyle{\frac{7}{12}}, \displaystyle{\frac{1}{15}}, ...