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) Cl

glasskerfu

glasskerfu

Answered question

2020-11-09

Consider the following sequence.
sn=2n1
(a) Find the first three terms of the sequence whose nth term is given.
s1=
s2=
s3=
(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.)

Answer & Explanation

joshyoung05M

joshyoung05M

Skilled2020-11-10Added 97 answers

Step 1
The given sequence is, sn=2n1
a)Find the first three terms of the sequence as shown below.
s1=2(1)1
=21
=1
s2=2(2)1
=41
=3
s3=2(3)1
=61
=5
Therefore,
s1=1
s2=3
s3=5
Step 2
b)The given sequence is,
sn=2n1
The tems of the sequence are 1,3,5,7,...
Here, s2s1=31
=2
s3s2=53
=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.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-26Added 2605 answers

Answer is given below (on video)

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