Write down the first five terms of each sequence. {sn}={((4)/(3))^n}

Name: Problem 22, Chapter 11: Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry
Uploaded: 2020-05-12T04:20:59-08:00
Duration: 1 min 26 s
Channel: Julie Silva
Description: Write down the first five terms of each sequence. {sn}={((4)/(3))^n}

step 1 We're being asked to find the first five terms for a sequence whose formula to find the M -term

Question

Write down the first five terms of each sequence. $$ \left\{s_n\right\}=\left\{\left(\frac{4}{3}\right)^n\right\} $$

   Write down the first five terms of each sequence.
$$
\left\{s_n\right\}=\left\{\left(\frac{4}{3}\right)^n\right\}
$$

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry

Michael Sullivan 4th Edition

Chapter 11, Problem 22

Instant Answer

Solved by Expert Julie Silva

05/12/2020

Step 1

The sequence is given by $\left\{s_n\right\}=\left\{\left(\frac{4}{3}\right)^n\right\}$. This means the $n$-th term of the sequence is $s_n = \left(\frac{4}{3}\right)^n$. Show more…

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Write down the first five terms of each sequence. $$ \left\{s_n\right\}=\left\{\left(\frac{4}{3}\right)^n\right\} $$

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Key Concepts

Sequence

A sequence is an ordered list of numbers following a specific rule or pattern. In mathematics, sequences are indexed collections that allow us to understand how elements change or progress, with each term typically defined by its position in the sequence.

Geometric Sequence

A geometric sequence is a type of sequence where each term after the first is found by multiplying the previous term by a constant factor known as the common ratio. This property of constant multiplication leads to exponential growth or decay, depending on whether the common ratio is greater or less than one.

Exponentiation

Exponentiation is the process of raising a base number to the power of an exponent, which signifies how many times the base is multiplied by itself. This concept is fundamental in expressions defining exponential functions and sequences, where the exponent corresponds to the term number in the sequence.

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