Chapter 7: Q. 45 (page 592)

In Exercises 43–46 give the first five terms for a geometric sequence ${\{c r^{k}\}}_{k = 0}^{\infty}$ with the specified values of $c a n d r .$
$c = - 2, r = - 3$ .

Short Answer

Expert verified

The first five terms are $- 2, 6, - 18, - 54, - 162 .$

Step by step solution

Step 1. Given information.

The given values are $c = - 2, r = - 3$ .

Step 2. First term.

The general sequence is $a_{k} = c r^{k}$

Substituting the given values,

$a_{k} = (- 2) (- 3)^{k}$

For first term, $k = 0,$

Therefore,

$a_{0} = (- 2) (- 3)^{0} = - 2$

Step 3. Remaining terms.

Now, when,

$k = 1, a_{1} = (- 2) (- 3)^{1} = 6 k = 2, a_{2} = (- 2) (- 3)^{2} = - 18 k = 3 a_{3} = (- 2) (- 3)^{3} = - 54 k = 4 a_{4} = (- 2) (- 3)^{4} = 162$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In Exercises 43–46 give the first five terms for a geometric sequence ${\{c r^{k}\}}_{k = 0}^{\infty}$ with the specified values of $c a n d r .$
$c = - 2, r = - 3$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. First term.

Step 3. Remaining terms.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Decision Maths

Mechanics Maths

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

In Exercises 43–46 give the first five terms for a geometric sequence crkk=0∞with the specified values of candr.c=-2,r=-3.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. First term.

Step 3. Remaining terms.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Decision Maths

Mechanics Maths

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

In Exercises 43–46 give the first five terms for a geometric sequence ${\{c r^{k}\}}_{k = 0}^{\infty}$ with the specified values of $c a n d r .$
$c = - 2, r = - 3$ .