Practice Test
Chapter
Chapter 7
Section
Practice Test
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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}

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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}}

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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

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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

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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

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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

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1.17mins
Q1f

For each sequence, determine

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

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

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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

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1.33mins
Q2b

Determine the number of terms in each sequence.

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

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0.43mins
Q3a

Determine the number of terms in each sequence.

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

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1.09mins
Q3b

Expand and simplify each binomial power.

(x-5)^4

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0.35mins
Q4a

Expand and simplify each binomial power.

(2x+3y)^3

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0.51mins
Q4b

Calculate the sum of each series.

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

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1.19mins
Q5a

Calculate the sum of each series.

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

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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.

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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?

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1.47mins
Q7

Determine the next three terms of each sequence.

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

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0.48mins
Q8a

Determine the next three terms of each sequence.

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

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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}}, ...

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0.26mins
Q8c