Exam 54: Geometric Sequences and Series

Change the decimal to a common fraction.? $0 . \overline { 5 }$

(Multiple Choice)

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Question 61

Find the eighth term of the geometric sequence whose second and fourth terms are 6 and 54.

(Multiple Choice)

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Question 62

A principal of $4000 is invested at 8% interest.Find the amount after 10 years if the interest is compounded quarterly.

(Multiple Choice)

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Question 63

Find the sum of the indicated terms of the geometric sequence.? $\sum _ { n = 1 } ^ { n = 8 } 3 ( 4 ) ^ { n - 1 }$ ?

(Multiple Choice)

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Question 64

A tool and die company buys a machine for $175,000 and it depreciates at a rate of 50% per year.(In other words,at the end of each year the depreciated value is 50% of what it was at the beginning of the year. )Find the depreciated value of the machine after 5 full years.

(Multiple Choice)

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Question 65

A ball is dropped from a height of 15 feet.Each time it drops h feet,it rebounds 0.85h feet. Find the total vertical distance traveled by the ball.(Round your answer to two decimal places. )

(Multiple Choice)

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Question 66

A principal of $5000 is invested at 4% interest.Find the amount after 10 years if the interest is compounded semi-annually.

(Multiple Choice)

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Question 67

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Exam 54: Geometric Sequences and Series

Change the decimal to a common fraction.? 0.5‾0 . \overline { 5 }0.5

Find the eighth term of the geometric sequence whose second and fourth terms are 6 and 54. ​

A principal of $4000 is invested at 8% interest.Find the amount after 10 years if the interest is compounded quarterly. ​

Find the sum of the indicated terms of the geometric sequence.? ∑n=1n=83(4)n−1\sum _ { n = 1 } ^ { n = 8 } 3 ( 4 ) ^ { n - 1 }∑n=1n=8​3(4)n−1 ?

A tool and die company buys a machine for $175,000 and it depreciates at a rate of 50% per year.(In other words,at the end of each year the depreciated value is 50% of what it was at the beginning of the year. )Find the depreciated value of the machine after 5 full years. ​

A ball is dropped from a height of 15 feet.Each time it drops h feet,it rebounds 0.85h feet. Find the total vertical distance traveled by the ball.(Round your answer to two decimal places. ) ​

A principal of $5000 is invested at 4% interest.Find the amount after 10 years if the interest is compounded semi-annually. ​

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Ellipses

Hyperbolas

Rotation of Conics

Parametric Equations

Polar Coordinates

Polar Equations of Conics

Graphs of Polar Equations

Filters

Change the decimal to a common fraction.? $0 . \overline { 5 }$

Find the eighth term of the geometric sequence whose second and fourth terms are 6 and 54.

A principal of $4000 is invested at 8% interest.Find the amount after 10 years if the interest is compounded quarterly.

Find the sum of the indicated terms of the geometric sequence.? $\sum _ { n = 1 } ^ { n = 8 } 3 ( 4 ) ^ { n - 1 }$ ?

A tool and die company buys a machine for $175,000 and it depreciates at a rate of 50% per year.(In other words,at the end of each year the depreciated value is 50% of what it was at the beginning of the year. )Find the depreciated value of the machine after 5 full years.

A ball is dropped from a height of 15 feet.Each time it drops h feet,it rebounds 0.85h feet. Find the total vertical distance traveled by the ball.(Round your answer to two decimal places. )

A principal of $5000 is invested at 4% interest.Find the amount after 10 years if the interest is compounded semi-annually.