glasskerfu

2020-11-09

Consider the following sequence.

${s}_{n}=2n-1$

(a) Find the first three terms of the sequence whose nth term is given.

${s}_{1}=$

${s}_{2}=$

${s}_{3}=$

(b) Classify the sequence as arithmetic, geometric, both, or neither. arithmetic, geometric bothneither

If arithmetic, give d, if geometric, give r, if both, give d followed by r. (If both, enter your answers as a comma-separated list. If neither, enter NONE.)

(a) Find the first three terms of the sequence whose nth term is given.

(b) Classify the sequence as arithmetic, geometric, both, or neither. arithmetic, geometric bothneither

If arithmetic, give d, if geometric, give r, if both, give d followed by r. (If both, enter your answers as a comma-separated list. If neither, enter NONE.)

joshyoung05M

Skilled2020-11-10Added 97 answers

Step 1

The given sequence is,${s}_{n}=2n-1$

a)Find the first three terms of the sequence as shown below.

${s}_{1}=2(1)-1$

$=2-1$

$=1$

${s}_{2}=2(2)-1$

$=4-1$

$=3$

${s}_{3}=2(3)-1$

$=6-1$

$=5$

Therefore,

${s}_{1}=1$

${s}_{2}=3$

${s}_{3}=5$

Step 2

b)The given sequence is,

${s}_{n}=2n-1$

The tems of the sequence are 1,3,5,7,...

Here,${s}_{2}-{s}_{1}=3-1$

$=2$

${s}_{3}-{s}_{2}=5-3$

$=2$

That implies, there exists a common difference between two successive numbers.

So, the given sequence is an arithmetic sequence whose common difference is$d=2$ .

The given sequence is,

a)Find the first three terms of the sequence as shown below.

Therefore,

Step 2

b)The given sequence is,

The tems of the sequence are 1,3,5,7,...

Here,

That implies, there exists a common difference between two successive numbers.

So, the given sequence is an arithmetic sequence whose common difference is

Jeffrey Jordon

Expert2021-12-26Added 2605 answers

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