Chapters

Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Solution of exercise 1
Solution of exercise 2
Solution of exercise 3
Solution of exercise 4
Solution of exercise 5
Solution of exercise 6
Solution of exercise 7
Solution of exercise 8
Solution of exercise 9

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Exercise 1

The second term of a geometric sequence is $\text{[math]}$ , and the fifth term is $\text{[math]}$ . Determine the sequence.

Exercise 2

The 1st term of a geometric sequence is $\text{[math]}$ and the eighth term is $\text{[math]}$ . Find the common ratio, the sum, and the product of the first $\text{[math]}$ terms.

Exercise 3

Compute the sum of the first $\text{[math]}$ terms of the sequence: $\text{[math]}$

Exercise 4

Calculate the sum of the terms of the following geometric sequence:

$\text{[math]}$

Exercise 5

Calculate the product of the first 5 terms of the sequence: $\text{[math]}$

Exercise 6

John has purchased $\text{[math]}$ books. The 1st book costs 1 dollar, the 2nd, 2 dollars, the 3rd, 4 dollars, and the 4th, 8 dollars, and so on. How much did John pay for the 20 books?

Exercise 7

The sides of a square, l, have lines drawn between them connecting adjoining sides with their midpoints. This creates another square within the original and this process is continued indefinitely. Calculate the sum of the areas of the infinite squares.

Exercise 8

Calculate the fraction that is equivalent to $\text{[math]}$

Exercise 9

Calculate the fraction that is equivalent to $\text{[math]}$

Solution of exercise 1

The second term of a geometric sequence is $\text{[math]}$ , and the fifth term is $\text{[math]}$ . Determine the sequence.

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

3, 6, 12, 24, 48, ...

Solution of exercise 2

The 1st term of a geometric sequence is $\text{[math]}$ and the eighth term is $\text{[math]}$ . Find the common ratio, the sum, and the product of the first $\text{[math]}$ terms.

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Solution of exercise 3

Compute the sum of the first 5 terms of the sequence: $\text{[math]}$

$\text{[math]}$

Solution of exercise 4

Calculate the sum of the terms of the following geometric sequence:

$\text{[math]}$ $\text{[math]}$

Solution of exercise 5

Calculate the product of the first 5 terms of the sequence: $\text{[math]}$

$\text{[math]}$

Solution of exercise 6

John has purchased $\text{[math]}$ books. The 1st book costs 1 dollar, the 2nd, 2 dollars, the 3rd, 4 dollars, and the 4th, 8 dollars, and so on. How much did John pay for the 20 books?

$\text{[math]}$ $\text{[math]}$

$\text{[math]}$ dollars

Solution of exercise 7

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Solution of exercise 8

Calculate the fraction that is equivalent to $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Solution of exercise 9

Calculate the fraction that is equivalent to $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

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Geometric Sequence Problems

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Solution of exercise 1

Solution of exercise 2

Solution of exercise 3

Solution of exercise 4

Solution of exercise 5

Solution of exercise 6

Solution of exercise 7

Solution of exercise 8

Solution of exercise 9

Theory

Exponent Rules

Composition of Functions

Constant Functions

Convergent and Divergent Sequences

Even and Odd Functions

Exponential Function

Graphing rational function IV

Graphing Functions

Graphing Parabolas

Arithmetic Sequence

Mean Value Theorem

Rolle’s Theorem

Intervals of Increase and Decrease

Periodic Functions

Concave and Convex Functions

Graphing rational function I

Graphing rational function III

Inflection Points

Increasing and Decreasing Functions

Geometric Sequence Problems

Piecewise Functions

Trigonometric Functions

Arithmetic Sequence Problems

Linear Function

Domain of a Function

Maxima, Minima and Inflection Points

Graphing exponential function II

Linear Functions Worksheet

Monotone Sequence

Radical Functions

Function

Geometric Sequence

x- and y-Intercepts

Bounded Sequence

Graphing rational function 8

L’Hôpital’s Rule

Graphing polynomial function I

Graphing exponential function I

Absolute and Relative Maxima and Minima

Maxima and Minima

Types of Functions

Asymptotes

Coordinates in the Plane

Optimization

nth Term

Graphing rational function V

Limit of a Sequence

Inverse Function

Graphing rational function II

Graphing logarithmic function

Graphing polynomial function II

Quadratic Function

Absolute Value Function

Rational Functions

Sequences

Bounded Functions

Logarithmic Functions

Properties of Limits

Formulas

Sequence Formulas