Geometric and Alternating Series Concepts

Geometric and Alternating Series Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial by Houston Math Prep explains how to find the partial sum of a geometric series. It begins with a comparison to arithmetic series and introduces the formula for calculating the sum of the first n terms. The derivation of the formula is detailed, followed by three examples: calculating the sum of the first 13 terms, an alternating series, and a series with a ratio of 1/2. The video emphasizes understanding the formula and applying it to different types of geometric series.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Trigonometry

Arithmetic series

Geometric series

Calculus

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many terms are summed in the initial example?

15

12

10

13

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common ratio in the initial example?

3

5

2

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the traditional method of finding the sum of terms?

Using a calculator

Listing and adding each term manually

Using a computer program

Guessing the sum

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the more efficient method introduced in the video?

Guessing the sum

Using a computer program

Using a formula

Using a calculator

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in deriving the formula for the partial sum?

Subtract all terms

Add all terms

List all terms

Multiply all terms by the common ratio

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you subtract the new line from the original line in the formula derivation?

You get the first and last terms

You get zero

You get a new series

All terms cancel out

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