Chapter 12: Q 12.44 (page 1188)

Write the first five terms of the sequence where the first term is $6$ and the common ratio is $r = - 4$ .

Short Answer

Expert verified

The first five terms are $6, - 24, 96, - 384, 1536$

Step by step solution

Step 1. Given information

The first term is $6$ and the common ratio is $r = - 4$ .

Step 2. Write the first five terms of the sequence.

Let $a, r$ denote the first term and the common ratio.

localid="1645292195496" $\begin{array}{rcl} a & = & 6 \\ r & = & - 4 \end{array}$

localid="1645292202355" $\begin{array}{rcl} a_{n} & = & a r^{n - 1} \\ a_{2} & = & 6 {(- 4)}^{2 - 1} = - 24 \\ a_{3} & = & 6 {(- 4)}^{3 - 1} = 96 \\ a_{4} & = & 6 {(- 4)}^{4 - 1} = - 384 \\ a_{5} & = & 6 {(- 4)}^{5 - 1} = 1536 \end{array}$

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Write the first five terms of the sequence where the first term is $6$ and the common ratio is $r = - 4$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write the first five terms of the sequence.

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Write the first five terms of the sequence where the first term is 6and the common ratio is r=-4.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write the first five terms of the sequence.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Write the first five terms of the sequence where the first term is $6$ and the common ratio is $r = - 4$ .