Chapter 12: Q 12.43. (page 1188)

Write the first five terms of the sequence where the first term is $7$ and the common ratio is $r = - 3$ .

Short Answer

Expert verified

First five terms are $7, - 21, 63, - 189, 567$ .

Step by step solution

Step 1. Write the first five terms of the sequence.

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

$\begin{array}{rcl} a & = & 7 \\ r & = & - 3 \end{array}$

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

$\begin{array}{rcl} a_{2} & = & 7 {(- 3)}^{2 - 1} \\ = & - 21 \\ a_{3} & = & 7 {(- 3)}^{3 - 1} \\ = & 63 \\ a_{4} & = & 7 {(- 3)}^{4 - 1} \\ = & - 189 \\ a_{5} & = & 7 {(- 3)}^{5 - 1} \\ = & 567 \end{array}$

So, the first five terms are

$7, - 21, 63, - 189, 567$

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Write the first five terms of the sequence where the first term is $7$ and the common ratio is $r = - 3$ .

Short Answer

Step by step solution

Step 1. Write the first five terms of the sequence.

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 7 and the common ratio is r=-3.

Short Answer

Step by step solution

Step 1. Write the first five terms of the sequence.

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

Theoretical and Mathematical Physics

Decision Maths

Statistics

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Write the first five terms of the sequence where the first term is $7$ and the common ratio is $r = - 3$ .